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Finding the Fourth Proportional to 2,374.63, 3,562.88 and 987.62

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Solution

The fourth proportional to 2,374.63, 3,562.88 and 987.62 is: 1,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.63 : 3,562.88 = 987.62 : x
  2. Step 2: Convert to fraction form
    2,374.63/3,562.88 = 987.62/x
  3. Step 3: Cross multiply
    2,374.63x = 3,562.88 × 987.62
  4. Step 4: Simplify right side
    2,374.63x = 3,518,748.79
  5. Step 5: Solve for x
    x = 3,518,748.79/2,374.63
  6. Step 6: Final answer
    x = 1,481.81

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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.