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Finding the Fourth Proportional to 2,981.88, 4,473.12 and 1,033.64

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Solution

The fourth proportional to 2,981.88, 4,473.12 and 1,033.64 is: 1,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.88 : 4,473.12 = 1,033.64 : x
  2. Step 2: Convert to fraction form
    2,981.88/4,473.12 = 1,033.64/x
  3. Step 3: Cross multiply
    2,981.88x = 4,473.12 × 1,033.64
  4. Step 4: Simplify right side
    2,981.88x = 4,623,595.76
  5. Step 5: Solve for x
    x = 4,623,595.76/2,981.88
  6. Step 6: Final answer
    x = 1,550.56

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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.