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Finding the Fourth Proportional to 2,896.74, 4,345.20 and 1,252.14

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Solution

The fourth proportional to 2,896.74, 4,345.20 and 1,252.14 is: 1,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.74 : 4,345.20 = 1,252.14 : x
  2. Step 2: Convert to fraction form
    2,896.74/4,345.20 = 1,252.14/x
  3. Step 3: Cross multiply
    2,896.74x = 4,345.20 × 1,252.14
  4. Step 4: Simplify right side
    2,896.74x = 5,440,798.73
  5. Step 5: Solve for x
    x = 5,440,798.73/2,896.74
  6. Step 6: Final answer
    x = 1,878.25

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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.