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Finding the Fourth Proportional to 2,448.52, 3,672.80 and 805.08

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Solution

The fourth proportional to 2,448.52, 3,672.80 and 805.08 is: 1,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.52 : 3,672.80 = 805.08 : x
  2. Step 2: Convert to fraction form
    2,448.52/3,672.80 = 805.08/x
  3. Step 3: Cross multiply
    2,448.52x = 3,672.80 × 805.08
  4. Step 4: Simplify right side
    2,448.52x = 2,956,897.82
  5. Step 5: Solve for x
    x = 2,956,897.82/2,448.52
  6. Step 6: Final answer
    x = 1,207.63

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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.