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Finding the Fourth Proportional to 1,856.80, 2,785.20 and 1,686.70

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Solution

The fourth proportional to 1,856.80, 2,785.20 and 1,686.70 is: 2,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.80 : 2,785.20 = 1,686.70 : x
  2. Step 2: Convert to fraction form
    1,856.80/2,785.20 = 1,686.70/x
  3. Step 3: Cross multiply
    1,856.80x = 2,785.20 × 1,686.70
  4. Step 4: Simplify right side
    1,856.80x = 4,697,796.84
  5. Step 5: Solve for x
    x = 4,697,796.84/1,856.80
  6. Step 6: Final answer
    x = 2,530.05

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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.