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Finding the Fourth Proportional to 2,379.60, 3,567.34 and 1,147.87

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Solution

The fourth proportional to 2,379.60, 3,567.34 and 1,147.87 is: 1,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.60 : 3,567.34 = 1,147.87 : x
  2. Step 2: Convert to fraction form
    2,379.60/3,567.34 = 1,147.87/x
  3. Step 3: Cross multiply
    2,379.60x = 3,567.34 × 1,147.87
  4. Step 4: Simplify right side
    2,379.60x = 4,094,848.46
  5. Step 5: Solve for x
    x = 4,094,848.46/2,379.60
  6. Step 6: Final answer
    x = 1,720.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.