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Finding the Fourth Proportional to 1,488.13, 2,230.59 and 1,411.22

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Solution

The fourth proportional to 1,488.13, 2,230.59 and 1,411.22 is: 2,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.13 : 2,230.59 = 1,411.22 : x
  2. Step 2: Convert to fraction form
    1,488.13/2,230.59 = 1,411.22/x
  3. Step 3: Cross multiply
    1,488.13x = 2,230.59 × 1,411.22
  4. Step 4: Simplify right side
    1,488.13x = 3,147,853.22
  5. Step 5: Solve for x
    x = 3,147,853.22/1,488.13
  6. Step 6: Final answer
    x = 2,115.31

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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.