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Finding the Fourth Proportional to 2,024.35, 2,793.95 and 1,932.01

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Solution

The fourth proportional to 2,024.35, 2,793.95 and 1,932.01 is: 2,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.35 : 2,793.95 = 1,932.01 : x
  2. Step 2: Convert to fraction form
    2,024.35/2,793.95 = 1,932.01/x
  3. Step 3: Cross multiply
    2,024.35x = 2,793.95 × 1,932.01
  4. Step 4: Simplify right side
    2,024.35x = 5,397,939.34
  5. Step 5: Solve for x
    x = 5,397,939.34/2,024.35
  6. Step 6: Final answer
    x = 2,666.50

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1.5x scale

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.