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Finding the Fourth Proportional to 2,374.25, 3,560.68 and 708.50

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Solution

The fourth proportional to 2,374.25, 3,560.68 and 708.50 is: 1,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.25 : 3,560.68 = 708.50 : x
  2. Step 2: Convert to fraction form
    2,374.25/3,560.68 = 708.50/x
  3. Step 3: Cross multiply
    2,374.25x = 3,560.68 × 708.50
  4. Step 4: Simplify right side
    2,374.25x = 2,522,741.78
  5. Step 5: Solve for x
    x = 2,522,741.78/2,374.25
  6. Step 6: Final answer
    x = 1,062.54

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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.