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Finding the Fourth Proportional to 2,116.95, 3,174.39 and 782.19

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Solution

The fourth proportional to 2,116.95, 3,174.39 and 782.19 is: 1,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.95 : 3,174.39 = 782.19 : x
  2. Step 2: Convert to fraction form
    2,116.95/3,174.39 = 782.19/x
  3. Step 3: Cross multiply
    2,116.95x = 3,174.39 × 782.19
  4. Step 4: Simplify right side
    2,116.95x = 2,482,976.11
  5. Step 5: Solve for x
    x = 2,482,976.11/2,116.95
  6. Step 6: Final answer
    x = 1,172.90

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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.