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Finding the Fourth Proportional to 1,798.78, 2,679.72 and 1,687

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Solution

The fourth proportional to 1,798.78, 2,679.72 and 1,687 is: 2,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.78 : 2,679.72 = 1,687 : x
  2. Step 2: Convert to fraction form
    1,798.78/2,679.72 = 1,687/x
  3. Step 3: Cross multiply
    1,798.78x = 2,679.72 × 1,687
  4. Step 4: Simplify right side
    1,798.78x = 4,520,687.64
  5. Step 5: Solve for x
    x = 4,520,687.64/1,798.78
  6. Step 6: Final answer
    x = 2,513.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.