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Finding the Fourth Proportional to 2,715.10, 4,071.42 and 865.86

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Solution

The fourth proportional to 2,715.10, 4,071.42 and 865.86 is: 1,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.10 : 4,071.42 = 865.86 : x
  2. Step 2: Convert to fraction form
    2,715.10/4,071.42 = 865.86/x
  3. Step 3: Cross multiply
    2,715.10x = 4,071.42 × 865.86
  4. Step 4: Simplify right side
    2,715.10x = 3,525,279.72
  5. Step 5: Solve for x
    x = 3,525,279.72/2,715.10
  6. Step 6: Final answer
    x = 1,298.40

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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.