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Finding the Fourth Proportional to 2,710.14, 3,742.65 and 2,314.86

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Solution

The fourth proportional to 2,710.14, 3,742.65 and 2,314.86 is: 3,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.14 : 3,742.65 = 2,314.86 : x
  2. Step 2: Convert to fraction form
    2,710.14/3,742.65 = 2,314.86/x
  3. Step 3: Cross multiply
    2,710.14x = 3,742.65 × 2,314.86
  4. Step 4: Simplify right side
    2,710.14x = 8,663,710.78
  5. Step 5: Solve for x
    x = 8,663,710.78/2,710.14
  6. Step 6: Final answer
    x = 3,196.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.