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Finding the Fourth Proportional to 2,068.61, 3,102.00 and 1,287.43

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Solution

The fourth proportional to 2,068.61, 3,102.00 and 1,287.43 is: 1,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.61 : 3,102.00 = 1,287.43 : x
  2. Step 2: Convert to fraction form
    2,068.61/3,102.00 = 1,287.43/x
  3. Step 3: Cross multiply
    2,068.61x = 3,102.00 × 1,287.43
  4. Step 4: Simplify right side
    2,068.61x = 3,993,595.28
  5. Step 5: Solve for x
    x = 3,993,595.28/2,068.61
  6. Step 6: Final answer
    x = 1,930.57

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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.