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Finding the Fourth Proportional to 2,278.23, 3,416.85 and 891.12

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Solution

The fourth proportional to 2,278.23, 3,416.85 and 891.12 is: 1,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.23 : 3,416.85 = 891.12 : x
  2. Step 2: Convert to fraction form
    2,278.23/3,416.85 = 891.12/x
  3. Step 3: Cross multiply
    2,278.23x = 3,416.85 × 891.12
  4. Step 4: Simplify right side
    2,278.23x = 3,044,823.37
  5. Step 5: Solve for x
    x = 3,044,823.37/2,278.23
  6. Step 6: Final answer
    x = 1,336.49

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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.