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Finding the Fourth Proportional to 2,187, 3,280.50 and 1,364.85

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Solution

The fourth proportional to 2,187, 3,280.50 and 1,364.85 is: 2,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187 : 3,280.50 = 1,364.85 : x
  2. Step 2: Convert to fraction form
    2,187/3,280.50 = 1,364.85/x
  3. Step 3: Cross multiply
    2,187x = 3,280.50 × 1,364.85
  4. Step 4: Simplify right side
    2,187x = 4,477,390.43
  5. Step 5: Solve for x
    x = 4,477,390.43/2,187
  6. Step 6: Final answer
    x = 2,047.28

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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.