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Finding the Fourth Proportional to 2,277.40, 3,415.49 and 978.57

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Solution

The fourth proportional to 2,277.40, 3,415.49 and 978.57 is: 1,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.40 : 3,415.49 = 978.57 : x
  2. Step 2: Convert to fraction form
    2,277.40/3,415.49 = 978.57/x
  3. Step 3: Cross multiply
    2,277.40x = 3,415.49 × 978.57
  4. Step 4: Simplify right side
    2,277.40x = 3,342,296.05
  5. Step 5: Solve for x
    x = 3,342,296.05/2,277.40
  6. Step 6: Final answer
    x = 1,467.59

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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.