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Finding the Fourth Proportional to 2,181.65, 3,274.78 and 1,360.50

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Solution

The fourth proportional to 2,181.65, 3,274.78 and 1,360.50 is: 2,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.65 : 3,274.78 = 1,360.50 : x
  2. Step 2: Convert to fraction form
    2,181.65/3,274.78 = 1,360.50/x
  3. Step 3: Cross multiply
    2,181.65x = 3,274.78 × 1,360.50
  4. Step 4: Simplify right side
    2,181.65x = 4,455,325.06
  5. Step 5: Solve for x
    x = 4,455,325.06/2,181.65
  6. Step 6: Final answer
    x = 2,042.18

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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.