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Finding the Fourth Proportional to 1,415.09, 2,122.73 and 592.54

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Solution

The fourth proportional to 1,415.09, 2,122.73 and 592.54 is: 888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.09 : 2,122.73 = 592.54 : x
  2. Step 2: Convert to fraction form
    1,415.09/2,122.73 = 592.54/x
  3. Step 3: Cross multiply
    1,415.09x = 2,122.73 × 592.54
  4. Step 4: Simplify right side
    1,415.09x = 1,257,793.30
  5. Step 5: Solve for x
    x = 1,257,793.30/1,415.09
  6. Step 6: Final answer
    x = 888.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.