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Finding the Fourth Proportional to 2,775.68, 4,167.18 and 2,546.45

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Solution

The fourth proportional to 2,775.68, 4,167.18 and 2,546.45 is: 3,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.68 : 4,167.18 = 2,546.45 : x
  2. Step 2: Convert to fraction form
    2,775.68/4,167.18 = 2,546.45/x
  3. Step 3: Cross multiply
    2,775.68x = 4,167.18 × 2,546.45
  4. Step 4: Simplify right side
    2,775.68x = 10,611,515.51
  5. Step 5: Solve for x
    x = 10,611,515.51/2,775.68
  6. Step 6: Final answer
    x = 3,823.03

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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.