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Finding the Fourth Proportional to 1,784,294.55, 2,456,103.62 and 1,540,054.31

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Solution

The fourth proportional to 1,784,294.55, 2,456,103.62 and 1,540,054.31 is: 2,119,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,294.55 : 2,456,103.62 = 1,540,054.31 : x
  2. Step 2: Convert to fraction form
    1,784,294.55/2,456,103.62 = 1,540,054.31/x
  3. Step 3: Cross multiply
    1,784,294.55x = 2,456,103.62 × 1,540,054.31
  4. Step 4: Simplify right side
    1,784,294.55x = 3,782,532,957,357.22
  5. Step 5: Solve for x
    x = 3,782,532,957,357.22/1,784,294.55
  6. Step 6: Final answer
    x = 2,119,903.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.