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Finding the Fourth Proportional to 2,337.59, 3,505.07 and 776.76

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Solution

The fourth proportional to 2,337.59, 3,505.07 and 776.76 is: 1,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.59 : 3,505.07 = 776.76 : x
  2. Step 2: Convert to fraction form
    2,337.59/3,505.07 = 776.76/x
  3. Step 3: Cross multiply
    2,337.59x = 3,505.07 × 776.76
  4. Step 4: Simplify right side
    2,337.59x = 2,722,600.12
  5. Step 5: Solve for x
    x = 2,722,600.12/2,337.59
  6. Step 6: Final answer
    x = 1,164.70

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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.