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Finding the Fourth Proportional to 2,770.68, 4,135.74 and 2,442.64

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Solution

The fourth proportional to 2,770.68, 4,135.74 and 2,442.64 is: 3,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.68 : 4,135.74 = 2,442.64 : x
  2. Step 2: Convert to fraction form
    2,770.68/4,135.74 = 2,442.64/x
  3. Step 3: Cross multiply
    2,770.68x = 4,135.74 × 2,442.64
  4. Step 4: Simplify right side
    2,770.68x = 10,102,123.95
  5. Step 5: Solve for x
    x = 10,102,123.95/2,770.68
  6. Step 6: Final answer
    x = 3,646.08

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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.