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Finding the Fourth Proportional to 2,700.75, 4,052.34 and 1,546.50

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Solution

The fourth proportional to 2,700.75, 4,052.34 and 1,546.50 is: 2,320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.75 : 4,052.34 = 1,546.50 : x
  2. Step 2: Convert to fraction form
    2,700.75/4,052.34 = 1,546.50/x
  3. Step 3: Cross multiply
    2,700.75x = 4,052.34 × 1,546.50
  4. Step 4: Simplify right side
    2,700.75x = 6,266,943.81
  5. Step 5: Solve for x
    x = 6,266,943.81/2,700.75
  6. Step 6: Final answer
    x = 2,320.45

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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.