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Finding the Fourth Proportional to 2,981.40, 4,475.70 and 2,959.80

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Solution

The fourth proportional to 2,981.40, 4,475.70 and 2,959.80 is: 4,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.40 : 4,475.70 = 2,959.80 : x
  2. Step 2: Convert to fraction form
    2,981.40/4,475.70 = 2,959.80/x
  3. Step 3: Cross multiply
    2,981.40x = 4,475.70 × 2,959.80
  4. Step 4: Simplify right side
    2,981.40x = 13,247,176.86
  5. Step 5: Solve for x
    x = 13,247,176.86/2,981.40
  6. Step 6: Final answer
    x = 4,443.27

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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.