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Finding the Fourth Proportional to 2,362.40, 3,541.20 and 1,320.80

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Solution

The fourth proportional to 2,362.40, 3,541.20 and 1,320.80 is: 1,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.40 : 3,541.20 = 1,320.80 : x
  2. Step 2: Convert to fraction form
    2,362.40/3,541.20 = 1,320.80/x
  3. Step 3: Cross multiply
    2,362.40x = 3,541.20 × 1,320.80
  4. Step 4: Simplify right side
    2,362.40x = 4,677,216.96
  5. Step 5: Solve for x
    x = 4,677,216.96/2,362.40
  6. Step 6: Final answer
    x = 1,979.86

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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.