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Finding the Fourth Proportional to 1,784.55, 2,677.28 and 614.58

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Solution

The fourth proportional to 1,784.55, 2,677.28 and 614.58 is: 922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.55 : 2,677.28 = 614.58 : x
  2. Step 2: Convert to fraction form
    1,784.55/2,677.28 = 614.58/x
  3. Step 3: Cross multiply
    1,784.55x = 2,677.28 × 614.58
  4. Step 4: Simplify right side
    1,784.55x = 1,645,399.67
  5. Step 5: Solve for x
    x = 1,645,399.67/1,784.55
  6. Step 6: Final answer
    x = 922.02

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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.