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Finding the Fourth Proportional to 2,023.06, 3,034.65 and 868.06

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Solution

The fourth proportional to 2,023.06, 3,034.65 and 868.06 is: 1,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.06 : 3,034.65 = 868.06 : x
  2. Step 2: Convert to fraction form
    2,023.06/3,034.65 = 868.06/x
  3. Step 3: Cross multiply
    2,023.06x = 3,034.65 × 868.06
  4. Step 4: Simplify right side
    2,023.06x = 2,634,258.28
  5. Step 5: Solve for x
    x = 2,634,258.28/2,023.06
  6. Step 6: Final answer
    x = 1,302.12

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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.