Home / 1,822.34-2,727.42-1,602.84

Finding the Fourth Proportional to 1,822.34, 2,727.42 and 1,602.84

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Solution

The fourth proportional to 1,822.34, 2,727.42 and 1,602.84 is: 2,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.34 : 2,727.42 = 1,602.84 : x
  2. Step 2: Convert to fraction form
    1,822.34/2,727.42 = 1,602.84/x
  3. Step 3: Cross multiply
    1,822.34x = 2,727.42 × 1,602.84
  4. Step 4: Simplify right side
    1,822.34x = 4,371,617.87
  5. Step 5: Solve for x
    x = 4,371,617.87/1,822.34
  6. Step 6: Final answer
    x = 2,398.90

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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.