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Finding the Fourth Proportional to 2,448.25, 3,672.92 and 909.25

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Solution

The fourth proportional to 2,448.25, 3,672.92 and 909.25 is: 1,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.25 : 3,672.92 = 909.25 : x
  2. Step 2: Convert to fraction form
    2,448.25/3,672.92 = 909.25/x
  3. Step 3: Cross multiply
    2,448.25x = 3,672.92 × 909.25
  4. Step 4: Simplify right side
    2,448.25x = 3,339,602.51
  5. Step 5: Solve for x
    x = 3,339,602.51/2,448.25
  6. Step 6: Final answer
    x = 1,364.08

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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.