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Finding the Fourth Proportional to 1,770.39, 2,656.17 and 616.14

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Solution

The fourth proportional to 1,770.39, 2,656.17 and 616.14 is: 924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.39 : 2,656.17 = 616.14 : x
  2. Step 2: Convert to fraction form
    1,770.39/2,656.17 = 616.14/x
  3. Step 3: Cross multiply
    1,770.39x = 2,656.17 × 616.14
  4. Step 4: Simplify right side
    1,770.39x = 1,636,572.58
  5. Step 5: Solve for x
    x = 1,636,572.58/1,770.39
  6. Step 6: Final answer
    x = 924.41

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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.