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Finding the Fourth Proportional to 1,440.20, 1,989.59 and 967.95

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Solution

The fourth proportional to 1,440.20, 1,989.59 and 967.95 is: 1,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.20 : 1,989.59 = 967.95 : x
  2. Step 2: Convert to fraction form
    1,440.20/1,989.59 = 967.95/x
  3. Step 3: Cross multiply
    1,440.20x = 1,989.59 × 967.95
  4. Step 4: Simplify right side
    1,440.20x = 1,925,818.80
  5. Step 5: Solve for x
    x = 1,925,818.80/1,440.20
  6. Step 6: Final answer
    x = 1,337.19

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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.