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Finding the Fourth Proportional to 1,879.16, 2,593.10 and 1,051

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Solution

The fourth proportional to 1,879.16, 2,593.10 and 1,051 is: 1,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.16 : 2,593.10 = 1,051 : x
  2. Step 2: Convert to fraction form
    1,879.16/2,593.10 = 1,051/x
  3. Step 3: Cross multiply
    1,879.16x = 2,593.10 × 1,051
  4. Step 4: Simplify right side
    1,879.16x = 2,725,348.10
  5. Step 5: Solve for x
    x = 2,725,348.10/1,879.16
  6. Step 6: Final answer
    x = 1,450.30

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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.