Home / 1,502.14-2,252.67-1,178.14

Finding the Fourth Proportional to 1,502.14, 2,252.67 and 1,178.14

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Solution

The fourth proportional to 1,502.14, 2,252.67 and 1,178.14 is: 1,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.14 : 2,252.67 = 1,178.14 : x
  2. Step 2: Convert to fraction form
    1,502.14/2,252.67 = 1,178.14/x
  3. Step 3: Cross multiply
    1,502.14x = 2,252.67 × 1,178.14
  4. Step 4: Simplify right side
    1,502.14x = 2,653,960.63
  5. Step 5: Solve for x
    x = 2,653,960.63/1,502.14
  6. Step 6: Final answer
    x = 1,766.79

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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.