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Finding the Fourth Proportional to 1,456.50, 2,186.13 and 909.72

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Solution

The fourth proportional to 1,456.50, 2,186.13 and 909.72 is: 1,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.50 : 2,186.13 = 909.72 : x
  2. Step 2: Convert to fraction form
    1,456.50/2,186.13 = 909.72/x
  3. Step 3: Cross multiply
    1,456.50x = 2,186.13 × 909.72
  4. Step 4: Simplify right side
    1,456.50x = 1,988,766.18
  5. Step 5: Solve for x
    x = 1,988,766.18/1,456.50
  6. Step 6: Final answer
    x = 1,365.44

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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.