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Finding the Fourth Proportional to 3,510.92, 5,266.22 and 1,319.48

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Solution

The fourth proportional to 3,510.92, 5,266.22 and 1,319.48 is: 1,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.92 : 5,266.22 = 1,319.48 : x
  2. Step 2: Convert to fraction form
    3,510.92/5,266.22 = 1,319.48/x
  3. Step 3: Cross multiply
    3,510.92x = 5,266.22 × 1,319.48
  4. Step 4: Simplify right side
    3,510.92x = 6,948,671.97
  5. Step 5: Solve for x
    x = 6,948,671.97/3,510.92
  6. Step 6: Final answer
    x = 1,979.16

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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.