Home / 1,727-2,584.02-1,074.68

Finding the Fourth Proportional to 1,727, 2,584.02 and 1,074.68

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Solution

The fourth proportional to 1,727, 2,584.02 and 1,074.68 is: 1,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727 : 2,584.02 = 1,074.68 : x
  2. Step 2: Convert to fraction form
    1,727/2,584.02 = 1,074.68/x
  3. Step 3: Cross multiply
    1,727x = 2,584.02 × 1,074.68
  4. Step 4: Simplify right side
    1,727x = 2,776,994.61
  5. Step 5: Solve for x
    x = 2,776,994.61/1,727
  6. Step 6: Final answer
    x = 1,607.99

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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.