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Finding the Fourth Proportional to 2,924.74, 4,387.02 and 733.49

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Solution

The fourth proportional to 2,924.74, 4,387.02 and 733.49 is: 1,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.74 : 4,387.02 = 733.49 : x
  2. Step 2: Convert to fraction form
    2,924.74/4,387.02 = 733.49/x
  3. Step 3: Cross multiply
    2,924.74x = 4,387.02 × 733.49
  4. Step 4: Simplify right side
    2,924.74x = 3,217,831.63
  5. Step 5: Solve for x
    x = 3,217,831.63/2,924.74
  6. Step 6: Final answer
    x = 1,100.21

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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.