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Finding the Fourth Proportional to 2,024.40, 3,034.59 and 854.72

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Solution

The fourth proportional to 2,024.40, 3,034.59 and 854.72 is: 1,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.40 : 3,034.59 = 854.72 : x
  2. Step 2: Convert to fraction form
    2,024.40/3,034.59 = 854.72/x
  3. Step 3: Cross multiply
    2,024.40x = 3,034.59 × 854.72
  4. Step 4: Simplify right side
    2,024.40x = 2,593,724.76
  5. Step 5: Solve for x
    x = 2,593,724.76/2,024.40
  6. Step 6: Final answer
    x = 1,281.23

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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.