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Finding the Fourth Proportional to 2,335.74, 3,505.08 and 949.11

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Solution

The fourth proportional to 2,335.74, 3,505.08 and 949.11 is: 1,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.74 : 3,505.08 = 949.11 : x
  2. Step 2: Convert to fraction form
    2,335.74/3,505.08 = 949.11/x
  3. Step 3: Cross multiply
    2,335.74x = 3,505.08 × 949.11
  4. Step 4: Simplify right side
    2,335.74x = 3,326,706.48
  5. Step 5: Solve for x
    x = 3,326,706.48/2,335.74
  6. Step 6: Final answer
    x = 1,424.26

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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.