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Finding the Fourth Proportional to 2,776.80, 4,146.56 and 2,412.48

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Solution

The fourth proportional to 2,776.80, 4,146.56 and 2,412.48 is: 3,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.80 : 4,146.56 = 2,412.48 : x
  2. Step 2: Convert to fraction form
    2,776.80/4,146.56 = 2,412.48/x
  3. Step 3: Cross multiply
    2,776.80x = 4,146.56 × 2,412.48
  4. Step 4: Simplify right side
    2,776.80x = 10,003,493.07
  5. Step 5: Solve for x
    x = 10,003,493.07/2,776.80
  6. Step 6: Final answer
    x = 3,602.53

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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.