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Finding the Fourth Proportional to 3,029.73, 4,542.06 and 948.42

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Solution

The fourth proportional to 3,029.73, 4,542.06 and 948.42 is: 1,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.73 : 4,542.06 = 948.42 : x
  2. Step 2: Convert to fraction form
    3,029.73/4,542.06 = 948.42/x
  3. Step 3: Cross multiply
    3,029.73x = 4,542.06 × 948.42
  4. Step 4: Simplify right side
    3,029.73x = 4,307,780.55
  5. Step 5: Solve for x
    x = 4,307,780.55/3,029.73
  6. Step 6: Final answer
    x = 1,421.84

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1.5x scale

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.