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Finding the Fourth Proportional to 2,969.80, 4,454.46 and 1,021.93

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Solution

The fourth proportional to 2,969.80, 4,454.46 and 1,021.93 is: 1,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.80 : 4,454.46 = 1,021.93 : x
  2. Step 2: Convert to fraction form
    2,969.80/4,454.46 = 1,021.93/x
  3. Step 3: Cross multiply
    2,969.80x = 4,454.46 × 1,021.93
  4. Step 4: Simplify right side
    2,969.80x = 4,552,146.31
  5. Step 5: Solve for x
    x = 4,552,146.31/2,969.80
  6. Step 6: Final answer
    x = 1,532.81

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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.