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Finding the Fourth Proportional to 3,045.67, 4,203.02 and 1,648.42

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Solution

The fourth proportional to 3,045.67, 4,203.02 and 1,648.42 is: 2,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.67 : 4,203.02 = 1,648.42 : x
  2. Step 2: Convert to fraction form
    3,045.67/4,203.02 = 1,648.42/x
  3. Step 3: Cross multiply
    3,045.67x = 4,203.02 × 1,648.42
  4. Step 4: Simplify right side
    3,045.67x = 6,928,335.84
  5. Step 5: Solve for x
    x = 6,928,335.84/3,045.67
  6. Step 6: Final answer
    x = 2,274.82

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1.5x scale

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.