Home / 1,434-2,141.28-1,138.18

Finding the Fourth Proportional to 1,434, 2,141.28 and 1,138.18

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Solution

The fourth proportional to 1,434, 2,141.28 and 1,138.18 is: 1,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434 : 2,141.28 = 1,138.18 : x
  2. Step 2: Convert to fraction form
    1,434/2,141.28 = 1,138.18/x
  3. Step 3: Cross multiply
    1,434x = 2,141.28 × 1,138.18
  4. Step 4: Simplify right side
    1,434x = 2,437,162.07
  5. Step 5: Solve for x
    x = 2,437,162.07/1,434
  6. Step 6: Final answer
    x = 1,699.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.