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Finding the Fourth Proportional to 1,784.84, 2,677.56 and 614.96

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Solution

The fourth proportional to 1,784.84, 2,677.56 and 614.96 is: 922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.84 : 2,677.56 = 614.96 : x
  2. Step 2: Convert to fraction form
    1,784.84/2,677.56 = 614.96/x
  3. Step 3: Cross multiply
    1,784.84x = 2,677.56 × 614.96
  4. Step 4: Simplify right side
    1,784.84x = 1,646,578.91
  5. Step 5: Solve for x
    x = 1,646,578.91/1,784.84
  6. Step 6: Final answer
    x = 922.54

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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.