Home / 1,578.30-2,177.70-948.62

Finding the Fourth Proportional to 1,578.30, 2,177.70 and 948.62

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Solution

The fourth proportional to 1,578.30, 2,177.70 and 948.62 is: 1,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.30 : 2,177.70 = 948.62 : x
  2. Step 2: Convert to fraction form
    1,578.30/2,177.70 = 948.62/x
  3. Step 3: Cross multiply
    1,578.30x = 2,177.70 × 948.62
  4. Step 4: Simplify right side
    1,578.30x = 2,065,809.77
  5. Step 5: Solve for x
    x = 2,065,809.77/1,578.30
  6. Step 6: Final answer
    x = 1,308.88

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