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Finding the Fourth Proportional to 3,011.78, 4,156.50 and 1,685.78

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Solution

The fourth proportional to 3,011.78, 4,156.50 and 1,685.78 is: 2,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.78 : 4,156.50 = 1,685.78 : x
  2. Step 2: Convert to fraction form
    3,011.78/4,156.50 = 1,685.78/x
  3. Step 3: Cross multiply
    3,011.78x = 4,156.50 × 1,685.78
  4. Step 4: Simplify right side
    3,011.78x = 7,006,944.57
  5. Step 5: Solve for x
    x = 7,006,944.57/3,011.78
  6. Step 6: Final answer
    x = 2,326.51

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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.