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Finding the Fourth Proportional to 2,125.60, 3,188.16 and 1,432.64

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Solution

The fourth proportional to 2,125.60, 3,188.16 and 1,432.64 is: 2,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.60 : 3,188.16 = 1,432.64 : x
  2. Step 2: Convert to fraction form
    2,125.60/3,188.16 = 1,432.64/x
  3. Step 3: Cross multiply
    2,125.60x = 3,188.16 × 1,432.64
  4. Step 4: Simplify right side
    2,125.60x = 4,567,485.54
  5. Step 5: Solve for x
    x = 4,567,485.54/2,125.60
  6. Step 6: Final answer
    x = 2,148.80

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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.