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Finding the Fourth Proportional to 2,754.95, 4,106.17 and 2,599.28

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Solution

The fourth proportional to 2,754.95, 4,106.17 and 2,599.28 is: 3,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.95 : 4,106.17 = 2,599.28 : x
  2. Step 2: Convert to fraction form
    2,754.95/4,106.17 = 2,599.28/x
  3. Step 3: Cross multiply
    2,754.95x = 4,106.17 × 2,599.28
  4. Step 4: Simplify right side
    2,754.95x = 10,673,085.56
  5. Step 5: Solve for x
    x = 10,673,085.56/2,754.95
  6. Step 6: Final answer
    x = 3,874.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.