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Finding the Fourth Proportional to 2,024.54, 2,793.03 and 1,463.77

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Solution

The fourth proportional to 2,024.54, 2,793.03 and 1,463.77 is: 2,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.54 : 2,793.03 = 1,463.77 : x
  2. Step 2: Convert to fraction form
    2,024.54/2,793.03 = 1,463.77/x
  3. Step 3: Cross multiply
    2,024.54x = 2,793.03 × 1,463.77
  4. Step 4: Simplify right side
    2,024.54x = 4,088,359.76
  5. Step 5: Solve for x
    x = 4,088,359.76/2,024.54
  6. Step 6: Final answer
    x = 2,019.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.