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Finding the Fourth Proportional to 1,217.88, 1,825.74 and 909.36

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Solution

The fourth proportional to 1,217.88, 1,825.74 and 909.36 is: 1,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.88 : 1,825.74 = 909.36 : x
  2. Step 2: Convert to fraction form
    1,217.88/1,825.74 = 909.36/x
  3. Step 3: Cross multiply
    1,217.88x = 1,825.74 × 909.36
  4. Step 4: Simplify right side
    1,217.88x = 1,660,254.93
  5. Step 5: Solve for x
    x = 1,660,254.93/1,217.88
  6. Step 6: Final answer
    x = 1,363.23

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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.