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Finding the Fourth Proportional to 1,700.85, 2,353.93 and 1,659.95

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Solution

The fourth proportional to 1,700.85, 2,353.93 and 1,659.95 is: 2,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.85 : 2,353.93 = 1,659.95 : x
  2. Step 2: Convert to fraction form
    1,700.85/2,353.93 = 1,659.95/x
  3. Step 3: Cross multiply
    1,700.85x = 2,353.93 × 1,659.95
  4. Step 4: Simplify right side
    1,700.85x = 3,907,406.10
  5. Step 5: Solve for x
    x = 3,907,406.10/1,700.85
  6. Step 6: Final answer
    x = 2,297.33

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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.