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Finding the Fourth Proportional to 2,534.85, 3,801.56 and 974.75

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Solution

The fourth proportional to 2,534.85, 3,801.56 and 974.75 is: 1,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.85 : 3,801.56 = 974.75 : x
  2. Step 2: Convert to fraction form
    2,534.85/3,801.56 = 974.75/x
  3. Step 3: Cross multiply
    2,534.85x = 3,801.56 × 974.75
  4. Step 4: Simplify right side
    2,534.85x = 3,705,570.61
  5. Step 5: Solve for x
    x = 3,705,570.61/2,534.85
  6. Step 6: Final answer
    x = 1,461.85

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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.