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Finding the Fourth Proportional to 2,924.79, 4,387.12 and 733.51

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Solution

The fourth proportional to 2,924.79, 4,387.12 and 733.51 is: 1,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.79 : 4,387.12 = 733.51 : x
  2. Step 2: Convert to fraction form
    2,924.79/4,387.12 = 733.51/x
  3. Step 3: Cross multiply
    2,924.79x = 4,387.12 × 733.51
  4. Step 4: Simplify right side
    2,924.79x = 3,217,996.39
  5. Step 5: Solve for x
    x = 3,217,996.39/2,924.79
  6. Step 6: Final answer
    x = 1,100.25

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1.5x scale

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.