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Finding the Fourth Proportional to 2,335.66, 3,504.90 and 1,349.74

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Solution

The fourth proportional to 2,335.66, 3,504.90 and 1,349.74 is: 2,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.66 : 3,504.90 = 1,349.74 : x
  2. Step 2: Convert to fraction form
    2,335.66/3,504.90 = 1,349.74/x
  3. Step 3: Cross multiply
    2,335.66x = 3,504.90 × 1,349.74
  4. Step 4: Simplify right side
    2,335.66x = 4,730,703.73
  5. Step 5: Solve for x
    x = 4,730,703.73/2,335.66
  6. Step 6: Final answer
    x = 2,025.42

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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.