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Finding the Fourth Proportional to 3,141.48, 4,715.16 and 1,499.16

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Solution

The fourth proportional to 3,141.48, 4,715.16 and 1,499.16 is: 2,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.48 : 4,715.16 = 1,499.16 : x
  2. Step 2: Convert to fraction form
    3,141.48/4,715.16 = 1,499.16/x
  3. Step 3: Cross multiply
    3,141.48x = 4,715.16 × 1,499.16
  4. Step 4: Simplify right side
    3,141.48x = 7,068,779.27
  5. Step 5: Solve for x
    x = 7,068,779.27/3,141.48
  6. Step 6: Final answer
    x = 2,250.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.