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Finding the Fourth Proportional to 1,988.32, 2,969.08 and 1,623.82

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Solution

The fourth proportional to 1,988.32, 2,969.08 and 1,623.82 is: 2,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.32 : 2,969.08 = 1,623.82 : x
  2. Step 2: Convert to fraction form
    1,988.32/2,969.08 = 1,623.82/x
  3. Step 3: Cross multiply
    1,988.32x = 2,969.08 × 1,623.82
  4. Step 4: Simplify right side
    1,988.32x = 4,821,251.49
  5. Step 5: Solve for x
    x = 4,821,251.49/1,988.32
  6. Step 6: Final answer
    x = 2,424.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.