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Finding the Fourth Proportional to 2,439.56, 3,658.97 and 795.75

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Solution

The fourth proportional to 2,439.56, 3,658.97 and 795.75 is: 1,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.56 : 3,658.97 = 795.75 : x
  2. Step 2: Convert to fraction form
    2,439.56/3,658.97 = 795.75/x
  3. Step 3: Cross multiply
    2,439.56x = 3,658.97 × 795.75
  4. Step 4: Simplify right side
    2,439.56x = 2,911,605.74
  5. Step 5: Solve for x
    x = 2,911,605.74/2,439.56
  6. Step 6: Final answer
    x = 1,193.49

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Double scale
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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.