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Finding the Fourth Proportional to 2,166.24, 3,250.40 and 867.68

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Solution

The fourth proportional to 2,166.24, 3,250.40 and 867.68 is: 1,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.24 : 3,250.40 = 867.68 : x
  2. Step 2: Convert to fraction form
    2,166.24/3,250.40 = 867.68/x
  3. Step 3: Cross multiply
    2,166.24x = 3,250.40 × 867.68
  4. Step 4: Simplify right side
    2,166.24x = 2,820,307.07
  5. Step 5: Solve for x
    x = 2,820,307.07/2,166.24
  6. Step 6: Final answer
    x = 1,301.94

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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.