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Finding the Fourth Proportional to 2,162.78, 3,242.54 and 1,121.40

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Solution

The fourth proportional to 2,162.78, 3,242.54 and 1,121.40 is: 1,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.78 : 3,242.54 = 1,121.40 : x
  2. Step 2: Convert to fraction form
    2,162.78/3,242.54 = 1,121.40/x
  3. Step 3: Cross multiply
    2,162.78x = 3,242.54 × 1,121.40
  4. Step 4: Simplify right side
    2,162.78x = 3,636,184.36
  5. Step 5: Solve for x
    x = 3,636,184.36/2,162.78
  6. Step 6: Final answer
    x = 1,681.25

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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.