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Finding the Fourth Proportional to 1,784.43, 2,677.08 and 614.45

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Solution

The fourth proportional to 1,784.43, 2,677.08 and 614.45 is: 921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.43 : 2,677.08 = 614.45 : x
  2. Step 2: Convert to fraction form
    1,784.43/2,677.08 = 614.45/x
  3. Step 3: Cross multiply
    1,784.43x = 2,677.08 × 614.45
  4. Step 4: Simplify right side
    1,784.43x = 1,644,931.81
  5. Step 5: Solve for x
    x = 1,644,931.81/1,784.43
  6. Step 6: Final answer
    x = 921.82

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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.