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Finding the Fourth Proportional to 3,003.78, 4,145.10 and 1,677.42

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Solution

The fourth proportional to 3,003.78, 4,145.10 and 1,677.42 is: 2,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.78 : 4,145.10 = 1,677.42 : x
  2. Step 2: Convert to fraction form
    3,003.78/4,145.10 = 1,677.42/x
  3. Step 3: Cross multiply
    3,003.78x = 4,145.10 × 1,677.42
  4. Step 4: Simplify right side
    3,003.78x = 6,953,073.64
  5. Step 5: Solve for x
    x = 6,953,073.64/3,003.78
  6. Step 6: Final answer
    x = 2,314.77

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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.