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Finding the Fourth Proportional to 2,295.74, 3,444.05 and 735.62

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Solution

The fourth proportional to 2,295.74, 3,444.05 and 735.62 is: 1,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.74 : 3,444.05 = 735.62 : x
  2. Step 2: Convert to fraction form
    2,295.74/3,444.05 = 735.62/x
  3. Step 3: Cross multiply
    2,295.74x = 3,444.05 × 735.62
  4. Step 4: Simplify right side
    2,295.74x = 2,533,496.68
  5. Step 5: Solve for x
    x = 2,533,496.68/2,295.74
  6. Step 6: Final answer
    x = 1,103.56

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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.