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Finding the Fourth Proportional to 2,301.65, 3,451.98 and 657.76

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Solution

The fourth proportional to 2,301.65, 3,451.98 and 657.76 is: 986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.65 : 3,451.98 = 657.76 : x
  2. Step 2: Convert to fraction form
    2,301.65/3,451.98 = 657.76/x
  3. Step 3: Cross multiply
    2,301.65x = 3,451.98 × 657.76
  4. Step 4: Simplify right side
    2,301.65x = 2,270,568.20
  5. Step 5: Solve for x
    x = 2,270,568.20/2,301.65
  6. Step 6: Final answer
    x = 986.49

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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.