Home / 1,747.32-2,622.06-978.36

Finding the Fourth Proportional to 1,747.32, 2,622.06 and 978.36

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Solution

The fourth proportional to 1,747.32, 2,622.06 and 978.36 is: 1,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.32 : 2,622.06 = 978.36 : x
  2. Step 2: Convert to fraction form
    1,747.32/2,622.06 = 978.36/x
  3. Step 3: Cross multiply
    1,747.32x = 2,622.06 × 978.36
  4. Step 4: Simplify right side
    1,747.32x = 2,565,318.62
  5. Step 5: Solve for x
    x = 2,565,318.62/1,747.32
  6. Step 6: Final answer
    x = 1,468.14

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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.