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Finding the Fourth Proportional to 2,337.90, 3,507.47 and 778.15

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Solution

The fourth proportional to 2,337.90, 3,507.47 and 778.15 is: 1,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.90 : 3,507.47 = 778.15 : x
  2. Step 2: Convert to fraction form
    2,337.90/3,507.47 = 778.15/x
  3. Step 3: Cross multiply
    2,337.90x = 3,507.47 × 778.15
  4. Step 4: Simplify right side
    2,337.90x = 2,729,337.78
  5. Step 5: Solve for x
    x = 2,729,337.78/2,337.90
  6. Step 6: Final answer
    x = 1,167.43

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1.5x scale

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.