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Finding the Fourth Proportional to 2,068.92, 3,103.54 and 588.13

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Solution

The fourth proportional to 2,068.92, 3,103.54 and 588.13 is: 882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.92 : 3,103.54 = 588.13 : x
  2. Step 2: Convert to fraction form
    2,068.92/3,103.54 = 588.13/x
  3. Step 3: Cross multiply
    2,068.92x = 3,103.54 × 588.13
  4. Step 4: Simplify right side
    2,068.92x = 1,825,275.75
  5. Step 5: Solve for x
    x = 1,825,275.75/2,068.92
  6. Step 6: Final answer
    x = 882.24

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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.