Home / 3,102.88-4,282.32-1,705.60

Finding the Fourth Proportional to 3,102.88, 4,282.32 and 1,705.60

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Solution

The fourth proportional to 3,102.88, 4,282.32 and 1,705.60 is: 2,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.88 : 4,282.32 = 1,705.60 : x
  2. Step 2: Convert to fraction form
    3,102.88/4,282.32 = 1,705.60/x
  3. Step 3: Cross multiply
    3,102.88x = 4,282.32 × 1,705.60
  4. Step 4: Simplify right side
    3,102.88x = 7,303,924.99
  5. Step 5: Solve for x
    x = 7,303,924.99/3,102.88
  6. Step 6: Final answer
    x = 2,353.92

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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.