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Finding the Fourth Proportional to 3,101.77, 4,652.55 and 761.78

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Solution

The fourth proportional to 3,101.77, 4,652.55 and 761.78 is: 1,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.77 : 4,652.55 = 761.78 : x
  2. Step 2: Convert to fraction form
    3,101.77/4,652.55 = 761.78/x
  3. Step 3: Cross multiply
    3,101.77x = 4,652.55 × 761.78
  4. Step 4: Simplify right side
    3,101.77x = 3,544,219.54
  5. Step 5: Solve for x
    x = 3,544,219.54/3,101.77
  6. Step 6: Final answer
    x = 1,142.64

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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.