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Finding the Fourth Proportional to 2,448.20, 3,672.42 and 804.71

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Solution

The fourth proportional to 2,448.20, 3,672.42 and 804.71 is: 1,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.20 : 3,672.42 = 804.71 : x
  2. Step 2: Convert to fraction form
    2,448.20/3,672.42 = 804.71/x
  3. Step 3: Cross multiply
    2,448.20x = 3,672.42 × 804.71
  4. Step 4: Simplify right side
    2,448.20x = 2,955,225.49
  5. Step 5: Solve for x
    x = 2,955,225.49/2,448.20
  6. Step 6: Final answer
    x = 1,207.10

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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.