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Finding the Fourth Proportional to 2,160.78, 3,242.61 and 1,135.50

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Solution

The fourth proportional to 2,160.78, 3,242.61 and 1,135.50 is: 1,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.78 : 3,242.61 = 1,135.50 : x
  2. Step 2: Convert to fraction form
    2,160.78/3,242.61 = 1,135.50/x
  3. Step 3: Cross multiply
    2,160.78x = 3,242.61 × 1,135.50
  4. Step 4: Simplify right side
    2,160.78x = 3,681,983.66
  5. Step 5: Solve for x
    x = 3,681,983.66/2,160.78
  6. Step 6: Final answer
    x = 1,704.01

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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.