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Finding the Fourth Proportional to 2,006.54, 2,774.96 and 1,757.46

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Solution

The fourth proportional to 2,006.54, 2,774.96 and 1,757.46 is: 2,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.54 : 2,774.96 = 1,757.46 : x
  2. Step 2: Convert to fraction form
    2,006.54/2,774.96 = 1,757.46/x
  3. Step 3: Cross multiply
    2,006.54x = 2,774.96 × 1,757.46
  4. Step 4: Simplify right side
    2,006.54x = 4,876,872.41
  5. Step 5: Solve for x
    x = 4,876,872.41/2,006.54
  6. Step 6: Final answer
    x = 2,430.49

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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.