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Finding the Fourth Proportional to 1,353.65, 1,866.36 and 1,118.55

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Solution

The fourth proportional to 1,353.65, 1,866.36 and 1,118.55 is: 1,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.65 : 1,866.36 = 1,118.55 : x
  2. Step 2: Convert to fraction form
    1,353.65/1,866.36 = 1,118.55/x
  3. Step 3: Cross multiply
    1,353.65x = 1,866.36 × 1,118.55
  4. Step 4: Simplify right side
    1,353.65x = 2,087,616.98
  5. Step 5: Solve for x
    x = 2,087,616.98/1,353.65
  6. Step 6: Final answer
    x = 1,542.21

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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.