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Finding the Fourth Proportional to 2,009.48, 2,773.20 and 1,125.24

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Solution

The fourth proportional to 2,009.48, 2,773.20 and 1,125.24 is: 1,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.48 : 2,773.20 = 1,125.24 : x
  2. Step 2: Convert to fraction form
    2,009.48/2,773.20 = 1,125.24/x
  3. Step 3: Cross multiply
    2,009.48x = 2,773.20 × 1,125.24
  4. Step 4: Simplify right side
    2,009.48x = 3,120,515.57
  5. Step 5: Solve for x
    x = 3,120,515.57/2,009.48
  6. Step 6: Final answer
    x = 1,552.90

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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.