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Finding the Fourth Proportional to 2,133.60, 3,199.04 and 746.24

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Solution

The fourth proportional to 2,133.60, 3,199.04 and 746.24 is: 1,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.60 : 3,199.04 = 746.24 : x
  2. Step 2: Convert to fraction form
    2,133.60/3,199.04 = 746.24/x
  3. Step 3: Cross multiply
    2,133.60x = 3,199.04 × 746.24
  4. Step 4: Simplify right side
    2,133.60x = 2,387,251.61
  5. Step 5: Solve for x
    x = 2,387,251.61/2,133.60
  6. Step 6: Final answer
    x = 1,118.88

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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.