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Finding the Fourth Proportional to 2,753.46, 4,131 and 1,455.84

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Solution

The fourth proportional to 2,753.46, 4,131 and 1,455.84 is: 2,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.46 : 4,131 = 1,455.84 : x
  2. Step 2: Convert to fraction form
    2,753.46/4,131 = 1,455.84/x
  3. Step 3: Cross multiply
    2,753.46x = 4,131 × 1,455.84
  4. Step 4: Simplify right side
    2,753.46x = 6,014,075.04
  5. Step 5: Solve for x
    x = 6,014,075.04/2,753.46
  6. Step 6: Final answer
    x = 2,184.19

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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.