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Finding the Fourth Proportional to 2,438.88, 3,656.40 and 878.64

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Solution

The fourth proportional to 2,438.88, 3,656.40 and 878.64 is: 1,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.88 : 3,656.40 = 878.64 : x
  2. Step 2: Convert to fraction form
    2,438.88/3,656.40 = 878.64/x
  3. Step 3: Cross multiply
    2,438.88x = 3,656.40 × 878.64
  4. Step 4: Simplify right side
    2,438.88x = 3,212,659.30
  5. Step 5: Solve for x
    x = 3,212,659.30/2,438.88
  6. Step 6: Final answer
    x = 1,317.27

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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.