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Finding the Fourth Proportional to 1,418.52, 1,955.20 and 1,294.60

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Solution

The fourth proportional to 1,418.52, 1,955.20 and 1,294.60 is: 1,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.52 : 1,955.20 = 1,294.60 : x
  2. Step 2: Convert to fraction form
    1,418.52/1,955.20 = 1,294.60/x
  3. Step 3: Cross multiply
    1,418.52x = 1,955.20 × 1,294.60
  4. Step 4: Simplify right side
    1,418.52x = 2,531,201.92
  5. Step 5: Solve for x
    x = 2,531,201.92/1,418.52
  6. Step 6: Final answer
    x = 1,784.40

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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.