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Finding the Fourth Proportional to 2,187.16, 3,277.50 and 887.56

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Solution

The fourth proportional to 2,187.16, 3,277.50 and 887.56 is: 1,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.16 : 3,277.50 = 887.56 : x
  2. Step 2: Convert to fraction form
    2,187.16/3,277.50 = 887.56/x
  3. Step 3: Cross multiply
    2,187.16x = 3,277.50 × 887.56
  4. Step 4: Simplify right side
    2,187.16x = 2,908,977.90
  5. Step 5: Solve for x
    x = 2,908,977.90/2,187.16
  6. Step 6: Final answer
    x = 1,330.03

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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.