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Finding the Fourth Proportional to 2,715.10, 4,071.43 and 865.87

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Solution

The fourth proportional to 2,715.10, 4,071.43 and 865.87 is: 1,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.10 : 4,071.43 = 865.87 : x
  2. Step 2: Convert to fraction form
    2,715.10/4,071.43 = 865.87/x
  3. Step 3: Cross multiply
    2,715.10x = 4,071.43 × 865.87
  4. Step 4: Simplify right side
    2,715.10x = 3,525,329.09
  5. Step 5: Solve for x
    x = 3,525,329.09/2,715.10
  6. Step 6: Final answer
    x = 1,298.42

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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.