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Finding the Fourth Proportional to 2,731.98, 4,098.12 and 784.13

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Solution

The fourth proportional to 2,731.98, 4,098.12 and 784.13 is: 1,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.98 : 4,098.12 = 784.13 : x
  2. Step 2: Convert to fraction form
    2,731.98/4,098.12 = 784.13/x
  3. Step 3: Cross multiply
    2,731.98x = 4,098.12 × 784.13
  4. Step 4: Simplify right side
    2,731.98x = 3,213,434.42
  5. Step 5: Solve for x
    x = 3,213,434.42/2,731.98
  6. Step 6: Final answer
    x = 1,176.23

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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.