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Finding the Fourth Proportional to 2,129.60, 3,190.44 and 1,156.52

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Solution

The fourth proportional to 2,129.60, 3,190.44 and 1,156.52 is: 1,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.60 : 3,190.44 = 1,156.52 : x
  2. Step 2: Convert to fraction form
    2,129.60/3,190.44 = 1,156.52/x
  3. Step 3: Cross multiply
    2,129.60x = 3,190.44 × 1,156.52
  4. Step 4: Simplify right side
    2,129.60x = 3,689,807.67
  5. Step 5: Solve for x
    x = 3,689,807.67/2,129.60
  6. Step 6: Final answer
    x = 1,732.63

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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.