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Finding the Fourth Proportional to 1,449.20, 1,999.50 and 924.80

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Solution

The fourth proportional to 1,449.20, 1,999.50 and 924.80 is: 1,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.20 : 1,999.50 = 924.80 : x
  2. Step 2: Convert to fraction form
    1,449.20/1,999.50 = 924.80/x
  3. Step 3: Cross multiply
    1,449.20x = 1,999.50 × 924.80
  4. Step 4: Simplify right side
    1,449.20x = 1,849,137.60
  5. Step 5: Solve for x
    x = 1,849,137.60/1,449.20
  6. Step 6: Final answer
    x = 1,275.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.