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Finding the Fourth Proportional to 2,132.60, 3,199.34 and 651.86

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Solution

The fourth proportional to 2,132.60, 3,199.34 and 651.86 is: 977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.60 : 3,199.34 = 651.86 : x
  2. Step 2: Convert to fraction form
    2,132.60/3,199.34 = 651.86/x
  3. Step 3: Cross multiply
    2,132.60x = 3,199.34 × 651.86
  4. Step 4: Simplify right side
    2,132.60x = 2,085,521.77
  5. Step 5: Solve for x
    x = 2,085,521.77/2,132.60
  6. Step 6: Final answer
    x = 977.92

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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.