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Finding the Fourth Proportional to 2,047.45, 3,071.63 and 586.62

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Solution

The fourth proportional to 2,047.45, 3,071.63 and 586.62 is: 880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.45 : 3,071.63 = 586.62 : x
  2. Step 2: Convert to fraction form
    2,047.45/3,071.63 = 586.62/x
  3. Step 3: Cross multiply
    2,047.45x = 3,071.63 × 586.62
  4. Step 4: Simplify right side
    2,047.45x = 1,801,879.59
  5. Step 5: Solve for x
    x = 1,801,879.59/2,047.45
  6. Step 6: Final answer
    x = 880.06

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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.