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Finding the Fourth Proportional to 1,447.80, 1,996.92 and 924

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Solution

The fourth proportional to 1,447.80, 1,996.92 and 924 is: 1,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.80 : 1,996.92 = 924 : x
  2. Step 2: Convert to fraction form
    1,447.80/1,996.92 = 924/x
  3. Step 3: Cross multiply
    1,447.80x = 1,996.92 × 924
  4. Step 4: Simplify right side
    1,447.80x = 1,845,154.08
  5. Step 5: Solve for x
    x = 1,845,154.08/1,447.80
  6. Step 6: Final answer
    x = 1,274.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.