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Finding the Fourth Proportional to 2,099.94, 3,146.27 and 1,002.80

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Solution

The fourth proportional to 2,099.94, 3,146.27 and 1,002.80 is: 1,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.94 : 3,146.27 = 1,002.80 : x
  2. Step 2: Convert to fraction form
    2,099.94/3,146.27 = 1,002.80/x
  3. Step 3: Cross multiply
    2,099.94x = 3,146.27 × 1,002.80
  4. Step 4: Simplify right side
    2,099.94x = 3,155,058.81
  5. Step 5: Solve for x
    x = 3,155,058.81/2,099.94
  6. Step 6: Final answer
    x = 1,502.45

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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.