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Finding the Fourth Proportional to 2,093.40, 2,882.32 and 1,778

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Solution

The fourth proportional to 2,093.40, 2,882.32 and 1,778 is: 2,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.40 : 2,882.32 = 1,778 : x
  2. Step 2: Convert to fraction form
    2,093.40/2,882.32 = 1,778/x
  3. Step 3: Cross multiply
    2,093.40x = 2,882.32 × 1,778
  4. Step 4: Simplify right side
    2,093.40x = 5,124,764.96
  5. Step 5: Solve for x
    x = 5,124,764.96/2,093.40
  6. Step 6: Final answer
    x = 2,448.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.