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Finding the Fourth Proportional to 2,301.07, 3,451.72 and 657.86

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Solution

The fourth proportional to 2,301.07, 3,451.72 and 657.86 is: 986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.07 : 3,451.72 = 657.86 : x
  2. Step 2: Convert to fraction form
    2,301.07/3,451.72 = 657.86/x
  3. Step 3: Cross multiply
    2,301.07x = 3,451.72 × 657.86
  4. Step 4: Simplify right side
    2,301.07x = 2,270,742.56
  5. Step 5: Solve for x
    x = 2,270,742.56/2,301.07
  6. Step 6: Final answer
    x = 986.82

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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.