Home / 1,578.26-2,177.96-989.12

Finding the Fourth Proportional to 1,578.26, 2,177.96 and 989.12

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Solution

The fourth proportional to 1,578.26, 2,177.96 and 989.12 is: 1,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.26 : 2,177.96 = 989.12 : x
  2. Step 2: Convert to fraction form
    1,578.26/2,177.96 = 989.12/x
  3. Step 3: Cross multiply
    1,578.26x = 2,177.96 × 989.12
  4. Step 4: Simplify right side
    1,578.26x = 2,154,264.29
  5. Step 5: Solve for x
    x = 2,154,264.29/1,578.26
  6. Step 6: Final answer
    x = 1,364.96

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1.5x scale

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.