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Finding the Fourth Proportional to 1,768.67, 2,440.68 and 1,002.18

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Solution

The fourth proportional to 1,768.67, 2,440.68 and 1,002.18 is: 1,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.67 : 2,440.68 = 1,002.18 : x
  2. Step 2: Convert to fraction form
    1,768.67/2,440.68 = 1,002.18/x
  3. Step 3: Cross multiply
    1,768.67x = 2,440.68 × 1,002.18
  4. Step 4: Simplify right side
    1,768.67x = 2,445,987.77
  5. Step 5: Solve for x
    x = 2,445,987.77/1,768.67
  6. Step 6: Final answer
    x = 1,382.95

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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.