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Finding the Fourth Proportional to 2,752.85, 4,129.41 and 1,109.18

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Solution

The fourth proportional to 2,752.85, 4,129.41 and 1,109.18 is: 1,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.85 : 4,129.41 = 1,109.18 : x
  2. Step 2: Convert to fraction form
    2,752.85/4,129.41 = 1,109.18/x
  3. Step 3: Cross multiply
    2,752.85x = 4,129.41 × 1,109.18
  4. Step 4: Simplify right side
    2,752.85x = 4,580,258.98
  5. Step 5: Solve for x
    x = 4,580,258.98/2,752.85
  6. Step 6: Final answer
    x = 1,663.82

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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.