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Finding the Fourth Proportional to 1,956.13, 2,934.19 and 588.13

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Solution

The fourth proportional to 1,956.13, 2,934.19 and 588.13 is: 882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.13 : 2,934.19 = 588.13 : x
  2. Step 2: Convert to fraction form
    1,956.13/2,934.19 = 588.13/x
  3. Step 3: Cross multiply
    1,956.13x = 2,934.19 × 588.13
  4. Step 4: Simplify right side
    1,956.13x = 1,725,685.16
  5. Step 5: Solve for x
    x = 1,725,685.16/1,956.13
  6. Step 6: Final answer
    x = 882.19

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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.