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Finding the Fourth Proportional to 1,362.80, 2,040.15 and 901.10

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Solution

The fourth proportional to 1,362.80, 2,040.15 and 901.10 is: 1,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.80 : 2,040.15 = 901.10 : x
  2. Step 2: Convert to fraction form
    1,362.80/2,040.15 = 901.10/x
  3. Step 3: Cross multiply
    1,362.80x = 2,040.15 × 901.10
  4. Step 4: Simplify right side
    1,362.80x = 1,838,379.17
  5. Step 5: Solve for x
    x = 1,838,379.17/1,362.80
  6. Step 6: Final answer
    x = 1,348.97

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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.