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Finding the Fourth Proportional to 2,265.10, 3,397.64 and 621.60

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Solution

The fourth proportional to 2,265.10, 3,397.64 and 621.60 is: 932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.10 : 3,397.64 = 621.60 : x
  2. Step 2: Convert to fraction form
    2,265.10/3,397.64 = 621.60/x
  3. Step 3: Cross multiply
    2,265.10x = 3,397.64 × 621.60
  4. Step 4: Simplify right side
    2,265.10x = 2,111,973.02
  5. Step 5: Solve for x
    x = 2,111,973.02/2,265.10
  6. Step 6: Final answer
    x = 932.40

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