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Finding the Fourth Proportional to 2,374.70, 3,562.76 and 1,141.76

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Solution

The fourth proportional to 2,374.70, 3,562.76 and 1,141.76 is: 1,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.70 : 3,562.76 = 1,141.76 : x
  2. Step 2: Convert to fraction form
    2,374.70/3,562.76 = 1,141.76/x
  3. Step 3: Cross multiply
    2,374.70x = 3,562.76 × 1,141.76
  4. Step 4: Simplify right side
    2,374.70x = 4,067,801.90
  5. Step 5: Solve for x
    x = 4,067,801.90/2,374.70
  6. Step 6: Final answer
    x = 1,712.98

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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.