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Finding the Fourth Proportional to 2,260.56, 3,389.54 and 700.16

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Solution

The fourth proportional to 2,260.56, 3,389.54 and 700.16 is: 1,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.56 : 3,389.54 = 700.16 : x
  2. Step 2: Convert to fraction form
    2,260.56/3,389.54 = 700.16/x
  3. Step 3: Cross multiply
    2,260.56x = 3,389.54 × 700.16
  4. Step 4: Simplify right side
    2,260.56x = 2,373,220.33
  5. Step 5: Solve for x
    x = 2,373,220.33/2,260.56
  6. Step 6: Final answer
    x = 1,049.84

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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.