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Finding the Fourth Proportional to 3,108.78, 4,290.12 and 1,782.45

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Solution

The fourth proportional to 3,108.78, 4,290.12 and 1,782.45 is: 2,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.78 : 4,290.12 = 1,782.45 : x
  2. Step 2: Convert to fraction form
    3,108.78/4,290.12 = 1,782.45/x
  3. Step 3: Cross multiply
    3,108.78x = 4,290.12 × 1,782.45
  4. Step 4: Simplify right side
    3,108.78x = 7,646,924.39
  5. Step 5: Solve for x
    x = 7,646,924.39/3,108.78
  6. Step 6: Final answer
    x = 2,459.78

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