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Finding the Fourth Proportional to 2,497.75, 3,746.63 and 766.38

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Solution

The fourth proportional to 2,497.75, 3,746.63 and 766.38 is: 1,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.75 : 3,746.63 = 766.38 : x
  2. Step 2: Convert to fraction form
    2,497.75/3,746.63 = 766.38/x
  3. Step 3: Cross multiply
    2,497.75x = 3,746.63 × 766.38
  4. Step 4: Simplify right side
    2,497.75x = 2,871,342.30
  5. Step 5: Solve for x
    x = 2,871,342.30/2,497.75
  6. Step 6: Final answer
    x = 1,149.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.