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Finding the Fourth Proportional to 2,249.90, 3,106.01 and 1,411.10

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Solution

The fourth proportional to 2,249.90, 3,106.01 and 1,411.10 is: 1,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.90 : 3,106.01 = 1,411.10 : x
  2. Step 2: Convert to fraction form
    2,249.90/3,106.01 = 1,411.10/x
  3. Step 3: Cross multiply
    2,249.90x = 3,106.01 × 1,411.10
  4. Step 4: Simplify right side
    2,249.90x = 4,382,890.71
  5. Step 5: Solve for x
    x = 4,382,890.71/2,249.90
  6. Step 6: Final answer
    x = 1,948.04

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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.