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Finding the Fourth Proportional to 2,048.25, 3,071.97 and 587.15

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Solution

The fourth proportional to 2,048.25, 3,071.97 and 587.15 is: 880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.25 : 3,071.97 = 587.15 : x
  2. Step 2: Convert to fraction form
    2,048.25/3,071.97 = 587.15/x
  3. Step 3: Cross multiply
    2,048.25x = 3,071.97 × 587.15
  4. Step 4: Simplify right side
    2,048.25x = 1,803,691.83
  5. Step 5: Solve for x
    x = 1,803,691.83/2,048.25
  6. Step 6: Final answer
    x = 880.60

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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.