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Finding the Fourth Proportional to 2,097.62, 3,145.47 and 1,253.70

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Solution

The fourth proportional to 2,097.62, 3,145.47 and 1,253.70 is: 1,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.62 : 3,145.47 = 1,253.70 : x
  2. Step 2: Convert to fraction form
    2,097.62/3,145.47 = 1,253.70/x
  3. Step 3: Cross multiply
    2,097.62x = 3,145.47 × 1,253.70
  4. Step 4: Simplify right side
    2,097.62x = 3,943,475.74
  5. Step 5: Solve for x
    x = 3,943,475.74/2,097.62
  6. Step 6: Final answer
    x = 1,879.98

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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.