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Finding the Fourth Proportional to 2,810.93, 4,216.40 and 836.58

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Solution

The fourth proportional to 2,810.93, 4,216.40 and 836.58 is: 1,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.93 : 4,216.40 = 836.58 : x
  2. Step 2: Convert to fraction form
    2,810.93/4,216.40 = 836.58/x
  3. Step 3: Cross multiply
    2,810.93x = 4,216.40 × 836.58
  4. Step 4: Simplify right side
    2,810.93x = 3,527,351.73
  5. Step 5: Solve for x
    x = 3,527,351.73/2,810.93
  6. Step 6: Final answer
    x = 1,254.87

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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.