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Finding the Fourth Proportional to 1,857, 2,785.16 and 686.84

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Solution

The fourth proportional to 1,857, 2,785.16 and 686.84 is: 1,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857 : 2,785.16 = 686.84 : x
  2. Step 2: Convert to fraction form
    1,857/2,785.16 = 686.84/x
  3. Step 3: Cross multiply
    1,857x = 2,785.16 × 686.84
  4. Step 4: Simplify right side
    1,857x = 1,912,959.29
  5. Step 5: Solve for x
    x = 1,912,959.29/1,857
  6. Step 6: Final answer
    x = 1,030.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.