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Finding the Fourth Proportional to 2,518.97, 3,476.12 and 1,456.65

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Solution

The fourth proportional to 2,518.97, 3,476.12 and 1,456.65 is: 2,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.97 : 3,476.12 = 1,456.65 : x
  2. Step 2: Convert to fraction form
    2,518.97/3,476.12 = 1,456.65/x
  3. Step 3: Cross multiply
    2,518.97x = 3,476.12 × 1,456.65
  4. Step 4: Simplify right side
    2,518.97x = 5,063,482.91
  5. Step 5: Solve for x
    x = 5,063,482.91/2,518.97
  6. Step 6: Final answer
    x = 2,010.14

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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.