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Finding the Fourth Proportional to 2,301.28, 3,451.40 and 657.48

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Solution

The fourth proportional to 2,301.28, 3,451.40 and 657.48 is: 986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.28 : 3,451.40 = 657.48 : x
  2. Step 2: Convert to fraction form
    2,301.28/3,451.40 = 657.48/x
  3. Step 3: Cross multiply
    2,301.28x = 3,451.40 × 657.48
  4. Step 4: Simplify right side
    2,301.28x = 2,269,226.47
  5. Step 5: Solve for x
    x = 2,269,226.47/2,301.28
  6. Step 6: Final answer
    x = 986.07

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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.