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Finding the Fourth Proportional to 2,542.85, 3,505.03 and 1,795.62

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Solution

The fourth proportional to 2,542.85, 3,505.03 and 1,795.62 is: 2,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.85 : 3,505.03 = 1,795.62 : x
  2. Step 2: Convert to fraction form
    2,542.85/3,505.03 = 1,795.62/x
  3. Step 3: Cross multiply
    2,542.85x = 3,505.03 × 1,795.62
  4. Step 4: Simplify right side
    2,542.85x = 6,293,701.97
  5. Step 5: Solve for x
    x = 6,293,701.97/2,542.85
  6. Step 6: Final answer
    x = 2,475.06

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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.