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Finding the Fourth Proportional to 2,301.13, 3,451.62 and 657.67

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Solution

The fourth proportional to 2,301.13, 3,451.62 and 657.67 is: 986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.13 : 3,451.62 = 657.67 : x
  2. Step 2: Convert to fraction form
    2,301.13/3,451.62 = 657.67/x
  3. Step 3: Cross multiply
    2,301.13x = 3,451.62 × 657.67
  4. Step 4: Simplify right side
    2,301.13x = 2,270,032.27
  5. Step 5: Solve for x
    x = 2,270,032.27/2,301.13
  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.