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Finding the Fourth Proportional to 2,497.54, 3,746.49 and 766.21

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Solution

The fourth proportional to 2,497.54, 3,746.49 and 766.21 is: 1,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.54 : 3,746.49 = 766.21 : x
  2. Step 2: Convert to fraction form
    2,497.54/3,746.49 = 766.21/x
  3. Step 3: Cross multiply
    2,497.54x = 3,746.49 × 766.21
  4. Step 4: Simplify right side
    2,497.54x = 2,870,598.10
  5. Step 5: Solve for x
    x = 2,870,598.10/2,497.54
  6. Step 6: Final answer
    x = 1,149.37

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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.