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Finding the Fourth Proportional to 2,488.78, 3,730.16 and 1,100.54

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Solution

The fourth proportional to 2,488.78, 3,730.16 and 1,100.54 is: 1,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.78 : 3,730.16 = 1,100.54 : x
  2. Step 2: Convert to fraction form
    2,488.78/3,730.16 = 1,100.54/x
  3. Step 3: Cross multiply
    2,488.78x = 3,730.16 × 1,100.54
  4. Step 4: Simplify right side
    2,488.78x = 4,105,166.13
  5. Step 5: Solve for x
    x = 4,105,166.13/2,488.78
  6. Step 6: Final answer
    x = 1,649.47

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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.