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Finding the Fourth Proportional to 1,872.41, 2,808.74 and 776.86

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Solution

The fourth proportional to 1,872.41, 2,808.74 and 776.86 is: 1,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.41 : 2,808.74 = 776.86 : x
  2. Step 2: Convert to fraction form
    1,872.41/2,808.74 = 776.86/x
  3. Step 3: Cross multiply
    1,872.41x = 2,808.74 × 776.86
  4. Step 4: Simplify right side
    1,872.41x = 2,181,993.87
  5. Step 5: Solve for x
    x = 2,181,993.87/1,872.41
  6. Step 6: Final answer
    x = 1,165.34

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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.