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Finding the Fourth Proportional to 2,068.31, 3,101.65 and 913.25

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Solution

The fourth proportional to 2,068.31, 3,101.65 and 913.25 is: 1,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.31 : 3,101.65 = 913.25 : x
  2. Step 2: Convert to fraction form
    2,068.31/3,101.65 = 913.25/x
  3. Step 3: Cross multiply
    2,068.31x = 3,101.65 × 913.25
  4. Step 4: Simplify right side
    2,068.31x = 2,832,581.86
  5. Step 5: Solve for x
    x = 2,832,581.86/2,068.31
  6. Step 6: Final answer
    x = 1,369.52

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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.