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Finding the Fourth Proportional to 2,260.16, 3,390.36 and 701.24

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Solution

The fourth proportional to 2,260.16, 3,390.36 and 701.24 is: 1,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.16 : 3,390.36 = 701.24 : x
  2. Step 2: Convert to fraction form
    2,260.16/3,390.36 = 701.24/x
  3. Step 3: Cross multiply
    2,260.16x = 3,390.36 × 701.24
  4. Step 4: Simplify right side
    2,260.16x = 2,377,456.05
  5. Step 5: Solve for x
    x = 2,377,456.05/2,260.16
  6. Step 6: Final answer
    x = 1,051.90

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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.