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Finding the Fourth Proportional to 2,683.72, 4,026.74 and 1,298.10

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Solution

The fourth proportional to 2,683.72, 4,026.74 and 1,298.10 is: 1,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.72 : 4,026.74 = 1,298.10 : x
  2. Step 2: Convert to fraction form
    2,683.72/4,026.74 = 1,298.10/x
  3. Step 3: Cross multiply
    2,683.72x = 4,026.74 × 1,298.10
  4. Step 4: Simplify right side
    2,683.72x = 5,227,084.57
  5. Step 5: Solve for x
    x = 5,227,084.57/2,683.72
  6. Step 6: Final answer
    x = 1,947.70

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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.