Home / 2,069.84-3,102.38-1,030.56

Finding the Fourth Proportional to 2,069.84, 3,102.38 and 1,030.56

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Solution

The fourth proportional to 2,069.84, 3,102.38 and 1,030.56 is: 1,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.84 : 3,102.38 = 1,030.56 : x
  2. Step 2: Convert to fraction form
    2,069.84/3,102.38 = 1,030.56/x
  3. Step 3: Cross multiply
    2,069.84x = 3,102.38 × 1,030.56
  4. Step 4: Simplify right side
    2,069.84x = 3,197,188.73
  5. Step 5: Solve for x
    x = 3,197,188.73/2,069.84
  6. Step 6: Final answer
    x = 1,544.66

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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.