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Finding the Fourth Proportional to 1,765.86, 2,648.83 and 841.51

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Solution

The fourth proportional to 1,765.86, 2,648.83 and 841.51 is: 1,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.86 : 2,648.83 = 841.51 : x
  2. Step 2: Convert to fraction form
    1,765.86/2,648.83 = 841.51/x
  3. Step 3: Cross multiply
    1,765.86x = 2,648.83 × 841.51
  4. Step 4: Simplify right side
    1,765.86x = 2,229,016.93
  5. Step 5: Solve for x
    x = 2,229,016.93/1,765.86
  6. Step 6: Final answer
    x = 1,262.28

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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.