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Finding the Fourth Proportional to 1,841.74, 2,765.04 and 976.66

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Solution

The fourth proportional to 1,841.74, 2,765.04 and 976.66 is: 1,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.74 : 2,765.04 = 976.66 : x
  2. Step 2: Convert to fraction form
    1,841.74/2,765.04 = 976.66/x
  3. Step 3: Cross multiply
    1,841.74x = 2,765.04 × 976.66
  4. Step 4: Simplify right side
    1,841.74x = 2,700,503.97
  5. Step 5: Solve for x
    x = 2,700,503.97/1,841.74
  6. Step 6: Final answer
    x = 1,466.28

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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.