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Finding the Fourth Proportional to 2,047.75, 3,071.62 and 586.91

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Solution

The fourth proportional to 2,047.75, 3,071.62 and 586.91 is: 880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.75 : 3,071.62 = 586.91 : x
  2. Step 2: Convert to fraction form
    2,047.75/3,071.62 = 586.91/x
  3. Step 3: Cross multiply
    2,047.75x = 3,071.62 × 586.91
  4. Step 4: Simplify right side
    2,047.75x = 1,802,749.14
  5. Step 5: Solve for x
    x = 1,802,749.14/2,047.75
  6. Step 6: Final answer
    x = 880.36

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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.