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Finding the Fourth Proportional to 1,319.28, 1,980.54 and 1,209.12

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Solution

The fourth proportional to 1,319.28, 1,980.54 and 1,209.12 is: 1,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.28 : 1,980.54 = 1,209.12 : x
  2. Step 2: Convert to fraction form
    1,319.28/1,980.54 = 1,209.12/x
  3. Step 3: Cross multiply
    1,319.28x = 1,980.54 × 1,209.12
  4. Step 4: Simplify right side
    1,319.28x = 2,394,710.52
  5. Step 5: Solve for x
    x = 2,394,710.52/1,319.28
  6. Step 6: Final answer
    x = 1,815.16

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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.