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Finding the Fourth Proportional to 2,047.66, 3,071.97 and 586.78

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Solution

The fourth proportional to 2,047.66, 3,071.97 and 586.78 is: 880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.66 : 3,071.97 = 586.78 : x
  2. Step 2: Convert to fraction form
    2,047.66/3,071.97 = 586.78/x
  3. Step 3: Cross multiply
    2,047.66x = 3,071.97 × 586.78
  4. Step 4: Simplify right side
    2,047.66x = 1,802,562.88
  5. Step 5: Solve for x
    x = 1,802,562.88/2,047.66
  6. Step 6: Final answer
    x = 880.30

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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.