Home / 1,727.12-2,589.63-777.11

Finding the Fourth Proportional to 1,727.12, 2,589.63 and 777.11

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Solution

The fourth proportional to 1,727.12, 2,589.63 and 777.11 is: 1,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.12 : 2,589.63 = 777.11 : x
  2. Step 2: Convert to fraction form
    1,727.12/2,589.63 = 777.11/x
  3. Step 3: Cross multiply
    1,727.12x = 2,589.63 × 777.11
  4. Step 4: Simplify right side
    1,727.12x = 2,012,422.84
  5. Step 5: Solve for x
    x = 2,012,422.84/1,727.12
  6. Step 6: Final answer
    x = 1,165.19

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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.