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Finding the Fourth Proportional to 3,028.97, 4,543.49 and 948.89

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Solution

The fourth proportional to 3,028.97, 4,543.49 and 948.89 is: 1,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.97 : 4,543.49 = 948.89 : x
  2. Step 2: Convert to fraction form
    3,028.97/4,543.49 = 948.89/x
  3. Step 3: Cross multiply
    3,028.97x = 4,543.49 × 948.89
  4. Step 4: Simplify right side
    3,028.97x = 4,311,267.48
  5. Step 5: Solve for x
    x = 4,311,267.48/3,028.97
  6. Step 6: Final answer
    x = 1,423.34

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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.