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Finding the Fourth Proportional to 2,068.32, 3,101.66 and 913.26

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Solution

The fourth proportional to 2,068.32, 3,101.66 and 913.26 is: 1,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.32 : 3,101.66 = 913.26 : x
  2. Step 2: Convert to fraction form
    2,068.32/3,101.66 = 913.26/x
  3. Step 3: Cross multiply
    2,068.32x = 3,101.66 × 913.26
  4. Step 4: Simplify right side
    2,068.32x = 2,832,622.01
  5. Step 5: Solve for x
    x = 2,832,622.01/2,068.32
  6. Step 6: Final answer
    x = 1,369.53

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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.