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Finding the Fourth Proportional to 2,316.49, 3,472.30 and 1,585.87

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Solution

The fourth proportional to 2,316.49, 3,472.30 and 1,585.87 is: 2,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.49 : 3,472.30 = 1,585.87 : x
  2. Step 2: Convert to fraction form
    2,316.49/3,472.30 = 1,585.87/x
  3. Step 3: Cross multiply
    2,316.49x = 3,472.30 × 1,585.87
  4. Step 4: Simplify right side
    2,316.49x = 5,506,616.40
  5. Step 5: Solve for x
    x = 5,506,616.40/2,316.49
  6. Step 6: Final answer
    x = 2,377.14

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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.