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Finding the Fourth Proportional to 3,038.65, 4,193.19 and 2,043.76

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Solution

The fourth proportional to 3,038.65, 4,193.19 and 2,043.76 is: 2,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.65 : 4,193.19 = 2,043.76 : x
  2. Step 2: Convert to fraction form
    3,038.65/4,193.19 = 2,043.76/x
  3. Step 3: Cross multiply
    3,038.65x = 4,193.19 × 2,043.76
  4. Step 4: Simplify right side
    3,038.65x = 8,569,873.99
  5. Step 5: Solve for x
    x = 8,569,873.99/3,038.65
  6. Step 6: Final answer
    x = 2,820.29

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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.