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Finding the Fourth Proportional to 2,193.62, 3,291.10 and 1,317.10

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Solution

The fourth proportional to 2,193.62, 3,291.10 and 1,317.10 is: 1,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.62 : 3,291.10 = 1,317.10 : x
  2. Step 2: Convert to fraction form
    2,193.62/3,291.10 = 1,317.10/x
  3. Step 3: Cross multiply
    2,193.62x = 3,291.10 × 1,317.10
  4. Step 4: Simplify right side
    2,193.62x = 4,334,707.81
  5. Step 5: Solve for x
    x = 4,334,707.81/2,193.62
  6. Step 6: Final answer
    x = 1,976.05

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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.