Home / 1,732.12-2,390.31-946.17

Finding the Fourth Proportional to 1,732.12, 2,390.31 and 946.17

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Solution

The fourth proportional to 1,732.12, 2,390.31 and 946.17 is: 1,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.12 : 2,390.31 = 946.17 : x
  2. Step 2: Convert to fraction form
    1,732.12/2,390.31 = 946.17/x
  3. Step 3: Cross multiply
    1,732.12x = 2,390.31 × 946.17
  4. Step 4: Simplify right side
    1,732.12x = 2,261,639.61
  5. Step 5: Solve for x
    x = 2,261,639.61/1,732.12
  6. Step 6: Final answer
    x = 1,305.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.