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Finding the Fourth Proportional to 2,243.19, 3,356.59 and 1,319.19

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Solution

The fourth proportional to 2,243.19, 3,356.59 and 1,319.19 is: 1,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.19 : 3,356.59 = 1,319.19 : x
  2. Step 2: Convert to fraction form
    2,243.19/3,356.59 = 1,319.19/x
  3. Step 3: Cross multiply
    2,243.19x = 3,356.59 × 1,319.19
  4. Step 4: Simplify right side
    2,243.19x = 4,427,959.88
  5. Step 5: Solve for x
    x = 4,427,959.88/2,243.19
  6. Step 6: Final answer
    x = 1,973.95

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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.