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Finding the Fourth Proportional to 2,016.50, 3,024.26 and 555.78

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Solution

The fourth proportional to 2,016.50, 3,024.26 and 555.78 is: 833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.50 : 3,024.26 = 555.78 : x
  2. Step 2: Convert to fraction form
    2,016.50/3,024.26 = 555.78/x
  3. Step 3: Cross multiply
    2,016.50x = 3,024.26 × 555.78
  4. Step 4: Simplify right side
    2,016.50x = 1,680,823.22
  5. Step 5: Solve for x
    x = 1,680,823.22/2,016.50
  6. Step 6: Final answer
    x = 833.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.