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Finding the Fourth Proportional to 3,153.42, 4,729.54 and 931.78

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Solution

The fourth proportional to 3,153.42, 4,729.54 and 931.78 is: 1,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.42 : 4,729.54 = 931.78 : x
  2. Step 2: Convert to fraction form
    3,153.42/4,729.54 = 931.78/x
  3. Step 3: Cross multiply
    3,153.42x = 4,729.54 × 931.78
  4. Step 4: Simplify right side
    3,153.42x = 4,406,890.78
  5. Step 5: Solve for x
    x = 4,406,890.78/3,153.42
  6. Step 6: Final answer
    x = 1,397.50

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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.