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Finding the Fourth Proportional to 2,047.26, 3,071.12 and 586.65

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Solution

The fourth proportional to 2,047.26, 3,071.12 and 586.65 is: 880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.26 : 3,071.12 = 586.65 : x
  2. Step 2: Convert to fraction form
    2,047.26/3,071.12 = 586.65/x
  3. Step 3: Cross multiply
    2,047.26x = 3,071.12 × 586.65
  4. Step 4: Simplify right side
    2,047.26x = 1,801,669.61
  5. Step 5: Solve for x
    x = 1,801,669.61/2,047.26
  6. Step 6: Final answer
    x = 880.04

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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.