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Finding the Fourth Proportional to 2,073.60, 3,094.20 and 2,024.19

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Solution

The fourth proportional to 2,073.60, 3,094.20 and 2,024.19 is: 3,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.60 : 3,094.20 = 2,024.19 : x
  2. Step 2: Convert to fraction form
    2,073.60/3,094.20 = 2,024.19/x
  3. Step 3: Cross multiply
    2,073.60x = 3,094.20 × 2,024.19
  4. Step 4: Simplify right side
    2,073.60x = 6,263,248.70
  5. Step 5: Solve for x
    x = 6,263,248.70/2,073.60
  6. Step 6: Final answer
    x = 3,020.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.