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Finding the Fourth Proportional to 3,046.12, 4,203.65 and 1,648.87

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Solution

The fourth proportional to 3,046.12, 4,203.65 and 1,648.87 is: 2,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.12 : 4,203.65 = 1,648.87 : x
  2. Step 2: Convert to fraction form
    3,046.12/4,203.65 = 1,648.87/x
  3. Step 3: Cross multiply
    3,046.12x = 4,203.65 × 1,648.87
  4. Step 4: Simplify right side
    3,046.12x = 6,931,272.38
  5. Step 5: Solve for x
    x = 6,931,272.38/3,046.12
  6. Step 6: Final answer
    x = 2,275.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.