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Finding the Fourth Proportional to 1,980.39, 2,967.93 and 1,542.18

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Solution

The fourth proportional to 1,980.39, 2,967.93 and 1,542.18 is: 2,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.39 : 2,967.93 = 1,542.18 : x
  2. Step 2: Convert to fraction form
    1,980.39/2,967.93 = 1,542.18/x
  3. Step 3: Cross multiply
    1,980.39x = 2,967.93 × 1,542.18
  4. Step 4: Simplify right side
    1,980.39x = 4,577,082.29
  5. Step 5: Solve for x
    x = 4,577,082.29/1,980.39
  6. Step 6: Final answer
    x = 2,311.20

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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.