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Finding the Fourth Proportional to 2,301.24, 3,451.36 and 657.76

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Solution

The fourth proportional to 2,301.24, 3,451.36 and 657.76 is: 986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.24 : 3,451.36 = 657.76 : x
  2. Step 2: Convert to fraction form
    2,301.24/3,451.36 = 657.76/x
  3. Step 3: Cross multiply
    2,301.24x = 3,451.36 × 657.76
  4. Step 4: Simplify right side
    2,301.24x = 2,270,166.55
  5. Step 5: Solve for x
    x = 2,270,166.55/2,301.24
  6. Step 6: Final answer
    x = 986.50

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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.