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Finding the Fourth Proportional to 2,758.40, 4,136.29 and 1,002.16

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Solution

The fourth proportional to 2,758.40, 4,136.29 and 1,002.16 is: 1,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.40 : 4,136.29 = 1,002.16 : x
  2. Step 2: Convert to fraction form
    2,758.40/4,136.29 = 1,002.16/x
  3. Step 3: Cross multiply
    2,758.40x = 4,136.29 × 1,002.16
  4. Step 4: Simplify right side
    2,758.40x = 4,145,245.73
  5. Step 5: Solve for x
    x = 4,145,245.73/2,758.40
  6. Step 6: Final answer
    x = 1,502.77

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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.