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Finding the Fourth Proportional to 1,583.89, 2,377.10 and 718.27

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Solution

The fourth proportional to 1,583.89, 2,377.10 and 718.27 is: 1,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.89 : 2,377.10 = 718.27 : x
  2. Step 2: Convert to fraction form
    1,583.89/2,377.10 = 718.27/x
  3. Step 3: Cross multiply
    1,583.89x = 2,377.10 × 718.27
  4. Step 4: Simplify right side
    1,583.89x = 1,707,399.62
  5. Step 5: Solve for x
    x = 1,707,399.62/1,583.89
  6. Step 6: Final answer
    x = 1,077.98

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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.