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Finding the Fourth Proportional to 1,443.04, 1,981.80 and 1,209.76

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Solution

The fourth proportional to 1,443.04, 1,981.80 and 1,209.76 is: 1,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.04 : 1,981.80 = 1,209.76 : x
  2. Step 2: Convert to fraction form
    1,443.04/1,981.80 = 1,209.76/x
  3. Step 3: Cross multiply
    1,443.04x = 1,981.80 × 1,209.76
  4. Step 4: Simplify right side
    1,443.04x = 2,397,502.37
  5. Step 5: Solve for x
    x = 2,397,502.37/1,443.04
  6. Step 6: Final answer
    x = 1,661.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.