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Finding the Fourth Proportional to 2,987.87, 4,123.59 and 1,728.91

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Solution

The fourth proportional to 2,987.87, 4,123.59 and 1,728.91 is: 2,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.87 : 4,123.59 = 1,728.91 : x
  2. Step 2: Convert to fraction form
    2,987.87/4,123.59 = 1,728.91/x
  3. Step 3: Cross multiply
    2,987.87x = 4,123.59 × 1,728.91
  4. Step 4: Simplify right side
    2,987.87x = 7,129,324.38
  5. Step 5: Solve for x
    x = 7,129,324.38/2,987.87
  6. Step 6: Final answer
    x = 2,386.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.