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Finding the Fourth Proportional to 2,482.46, 3,726.43 and 2,097.23

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Solution

The fourth proportional to 2,482.46, 3,726.43 and 2,097.23 is: 3,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.46 : 3,726.43 = 2,097.23 : x
  2. Step 2: Convert to fraction form
    2,482.46/3,726.43 = 2,097.23/x
  3. Step 3: Cross multiply
    2,482.46x = 3,726.43 × 2,097.23
  4. Step 4: Simplify right side
    2,482.46x = 7,815,156.91
  5. Step 5: Solve for x
    x = 7,815,156.91/2,482.46
  6. Step 6: Final answer
    x = 3,148.15

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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.