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Finding the Fourth Proportional to 3,011.84, 4,156.32 and 1,685.76

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Solution

The fourth proportional to 3,011.84, 4,156.32 and 1,685.76 is: 2,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.84 : 4,156.32 = 1,685.76 : x
  2. Step 2: Convert to fraction form
    3,011.84/4,156.32 = 1,685.76/x
  3. Step 3: Cross multiply
    3,011.84x = 4,156.32 × 1,685.76
  4. Step 4: Simplify right side
    3,011.84x = 7,006,558.00
  5. Step 5: Solve for x
    x = 7,006,558.00/3,011.84
  6. Step 6: Final answer
    x = 2,326.34

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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.