Home / 1,578.24-2,367.28-962.08

Finding the Fourth Proportional to 1,578.24, 2,367.28 and 962.08

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Solution

The fourth proportional to 1,578.24, 2,367.28 and 962.08 is: 1,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.24 : 2,367.28 = 962.08 : x
  2. Step 2: Convert to fraction form
    1,578.24/2,367.28 = 962.08/x
  3. Step 3: Cross multiply
    1,578.24x = 2,367.28 × 962.08
  4. Step 4: Simplify right side
    1,578.24x = 2,277,512.74
  5. Step 5: Solve for x
    x = 2,277,512.74/1,578.24
  6. Step 6: Final answer
    x = 1,443.07

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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.