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Finding the Fourth Proportional to 2,449.33, 3,674 and 909.49

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Solution

The fourth proportional to 2,449.33, 3,674 and 909.49 is: 1,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.33 : 3,674 = 909.49 : x
  2. Step 2: Convert to fraction form
    2,449.33/3,674 = 909.49/x
  3. Step 3: Cross multiply
    2,449.33x = 3,674 × 909.49
  4. Step 4: Simplify right side
    2,449.33x = 3,341,466.26
  5. Step 5: Solve for x
    x = 3,341,466.26/2,449.33
  6. Step 6: Final answer
    x = 1,364.24

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Double scale
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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.