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Finding the Fourth Proportional to 2,337.14, 3,505.16 and 875.90

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Solution

The fourth proportional to 2,337.14, 3,505.16 and 875.90 is: 1,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.14 : 3,505.16 = 875.90 : x
  2. Step 2: Convert to fraction form
    2,337.14/3,505.16 = 875.90/x
  3. Step 3: Cross multiply
    2,337.14x = 3,505.16 × 875.90
  4. Step 4: Simplify right side
    2,337.14x = 3,070,147.74
  5. Step 5: Solve for x
    x = 3,070,147.74/2,337.14
  6. Step 6: Final answer
    x = 1,313.64

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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.