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Finding the Fourth Proportional to 2,068.84, 3,100.88 and 1,029.56

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Solution

The fourth proportional to 2,068.84, 3,100.88 and 1,029.56 is: 1,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.84 : 3,100.88 = 1,029.56 : x
  2. Step 2: Convert to fraction form
    2,068.84/3,100.88 = 1,029.56/x
  3. Step 3: Cross multiply
    2,068.84x = 3,100.88 × 1,029.56
  4. Step 4: Simplify right side
    2,068.84x = 3,192,546.52
  5. Step 5: Solve for x
    x = 3,192,546.52/2,068.84
  6. Step 6: Final answer
    x = 1,543.16

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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.