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Finding the Fourth Proportional to 2,252.07, 3,376.98 and 691.65

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Solution

The fourth proportional to 2,252.07, 3,376.98 and 691.65 is: 1,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.07 : 3,376.98 = 691.65 : x
  2. Step 2: Convert to fraction form
    2,252.07/3,376.98 = 691.65/x
  3. Step 3: Cross multiply
    2,252.07x = 3,376.98 × 691.65
  4. Step 4: Simplify right side
    2,252.07x = 2,335,688.22
  5. Step 5: Solve for x
    x = 2,335,688.22/2,252.07
  6. Step 6: Final answer
    x = 1,037.13

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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.