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Finding the Fourth Proportional to 2,967.96, 4,452.80 and 887.88

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Solution

The fourth proportional to 2,967.96, 4,452.80 and 887.88 is: 1,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.96 : 4,452.80 = 887.88 : x
  2. Step 2: Convert to fraction form
    2,967.96/4,452.80 = 887.88/x
  3. Step 3: Cross multiply
    2,967.96x = 4,452.80 × 887.88
  4. Step 4: Simplify right side
    2,967.96x = 3,953,552.06
  5. Step 5: Solve for x
    x = 3,953,552.06/2,967.96
  6. Step 6: Final answer
    x = 1,332.08

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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.