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Finding the Fourth Proportional to 1,776.18, 2,446.14 and 1,737.90

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Solution

The fourth proportional to 1,776.18, 2,446.14 and 1,737.90 is: 2,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.18 : 2,446.14 = 1,737.90 : x
  2. Step 2: Convert to fraction form
    1,776.18/2,446.14 = 1,737.90/x
  3. Step 3: Cross multiply
    1,776.18x = 2,446.14 × 1,737.90
  4. Step 4: Simplify right side
    1,776.18x = 4,251,146.71
  5. Step 5: Solve for x
    x = 4,251,146.71/1,776.18
  6. Step 6: Final answer
    x = 2,393.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.