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Finding the Fourth Proportional to 3,246.17, 4,868.24 and 2,074.50

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Solution

The fourth proportional to 3,246.17, 4,868.24 and 2,074.50 is: 3,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.17 : 4,868.24 = 2,074.50 : x
  2. Step 2: Convert to fraction form
    3,246.17/4,868.24 = 2,074.50/x
  3. Step 3: Cross multiply
    3,246.17x = 4,868.24 × 2,074.50
  4. Step 4: Simplify right side
    3,246.17x = 10,099,153.51
  5. Step 5: Solve for x
    x = 10,099,153.51/3,246.17
  6. Step 6: Final answer
    x = 3,111.10

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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.