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Finding the Fourth Proportional to 1,641.60, 2,458.80 and 991.20

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Solution

The fourth proportional to 1,641.60, 2,458.80 and 991.20 is: 1,484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.60 : 2,458.80 = 991.20 : x
  2. Step 2: Convert to fraction form
    1,641.60/2,458.80 = 991.20/x
  3. Step 3: Cross multiply
    1,641.60x = 2,458.80 × 991.20
  4. Step 4: Simplify right side
    1,641.60x = 2,437,162.56
  5. Step 5: Solve for x
    x = 2,437,162.56/1,641.60
  6. Step 6: Final answer
    x = 1,484.63

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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.