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Finding the Fourth Proportional to 3,011.81, 4,156.18 and 1,685.63

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Solution

The fourth proportional to 3,011.81, 4,156.18 and 1,685.63 is: 2,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.81 : 4,156.18 = 1,685.63 : x
  2. Step 2: Convert to fraction form
    3,011.81/4,156.18 = 1,685.63/x
  3. Step 3: Cross multiply
    3,011.81x = 4,156.18 × 1,685.63
  4. Step 4: Simplify right side
    3,011.81x = 7,005,787.87
  5. Step 5: Solve for x
    x = 7,005,787.87/3,011.81
  6. Step 6: Final answer
    x = 2,326.11

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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.