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Finding the Fourth Proportional to 2,098.08, 3,146.02 and 710.91

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Solution

The fourth proportional to 2,098.08, 3,146.02 and 710.91 is: 1,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.08 : 3,146.02 = 710.91 : x
  2. Step 2: Convert to fraction form
    2,098.08/3,146.02 = 710.91/x
  3. Step 3: Cross multiply
    2,098.08x = 3,146.02 × 710.91
  4. Step 4: Simplify right side
    2,098.08x = 2,236,535.30
  5. Step 5: Solve for x
    x = 2,236,535.30/2,098.08
  6. Step 6: Final answer
    x = 1,065.99

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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.