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Finding the Fourth Proportional to 2,966.88, 4,098.12 and 2,709.30

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Solution

The fourth proportional to 2,966.88, 4,098.12 and 2,709.30 is: 3,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.88 : 4,098.12 = 2,709.30 : x
  2. Step 2: Convert to fraction form
    2,966.88/4,098.12 = 2,709.30/x
  3. Step 3: Cross multiply
    2,966.88x = 4,098.12 × 2,709.30
  4. Step 4: Simplify right side
    2,966.88x = 11,103,036.52
  5. Step 5: Solve for x
    x = 11,103,036.52/2,966.88
  6. Step 6: Final answer
    x = 3,742.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.