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Finding the Fourth Proportional to 2,024.70, 3,029.72 and 1,674.78

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Solution

The fourth proportional to 2,024.70, 3,029.72 and 1,674.78 is: 2,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.70 : 3,029.72 = 1,674.78 : x
  2. Step 2: Convert to fraction form
    2,024.70/3,029.72 = 1,674.78/x
  3. Step 3: Cross multiply
    2,024.70x = 3,029.72 × 1,674.78
  4. Step 4: Simplify right side
    2,024.70x = 5,074,114.46
  5. Step 5: Solve for x
    x = 5,074,114.46/2,024.70
  6. Step 6: Final answer
    x = 2,506.11

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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.