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Finding the Fourth Proportional to 2,260.74, 3,389.88 and 700.07

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Solution

The fourth proportional to 2,260.74, 3,389.88 and 700.07 is: 1,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.74 : 3,389.88 = 700.07 : x
  2. Step 2: Convert to fraction form
    2,260.74/3,389.88 = 700.07/x
  3. Step 3: Cross multiply
    2,260.74x = 3,389.88 × 700.07
  4. Step 4: Simplify right side
    2,260.74x = 2,373,136.34
  5. Step 5: Solve for x
    x = 2,373,136.34/2,260.74
  6. Step 6: Final answer
    x = 1,049.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.