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Finding the Fourth Proportional to 2,497.27, 3,746.51 and 1,264.65

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Solution

The fourth proportional to 2,497.27, 3,746.51 and 1,264.65 is: 1,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.27 : 3,746.51 = 1,264.65 : x
  2. Step 2: Convert to fraction form
    2,497.27/3,746.51 = 1,264.65/x
  3. Step 3: Cross multiply
    2,497.27x = 3,746.51 × 1,264.65
  4. Step 4: Simplify right side
    2,497.27x = 4,738,023.87
  5. Step 5: Solve for x
    x = 4,738,023.87/2,497.27
  6. Step 6: Final answer
    x = 1,897.28

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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.