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Finding the Fourth Proportional to 2,374.73, 3,562.10 and 1,506.41

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Solution

The fourth proportional to 2,374.73, 3,562.10 and 1,506.41 is: 2,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.73 : 3,562.10 = 1,506.41 : x
  2. Step 2: Convert to fraction form
    2,374.73/3,562.10 = 1,506.41/x
  3. Step 3: Cross multiply
    2,374.73x = 3,562.10 × 1,506.41
  4. Step 4: Simplify right side
    2,374.73x = 5,365,975.53
  5. Step 5: Solve for x
    x = 5,365,975.53/2,374.73
  6. Step 6: Final answer
    x = 2,259.62

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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.