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Finding the Fourth Proportional to 1,968.59, 2,718.40 and 1,223.82

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Solution

The fourth proportional to 1,968.59, 2,718.40 and 1,223.82 is: 1,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.59 : 2,718.40 = 1,223.82 : x
  2. Step 2: Convert to fraction form
    1,968.59/2,718.40 = 1,223.82/x
  3. Step 3: Cross multiply
    1,968.59x = 2,718.40 × 1,223.82
  4. Step 4: Simplify right side
    1,968.59x = 3,326,832.29
  5. Step 5: Solve for x
    x = 3,326,832.29/1,968.59
  6. Step 6: Final answer
    x = 1,689.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.