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Finding the Fourth Proportional to 2,117.68, 2,922.74 and 2,024.24

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Solution

The fourth proportional to 2,117.68, 2,922.74 and 2,024.24 is: 2,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.68 : 2,922.74 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    2,117.68/2,922.74 = 2,024.24/x
  3. Step 3: Cross multiply
    2,117.68x = 2,922.74 × 2,024.24
  4. Step 4: Simplify right side
    2,117.68x = 5,916,310.07
  5. Step 5: Solve for x
    x = 5,916,310.07/2,117.68
  6. Step 6: Final answer
    x = 2,793.77

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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.