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Finding the Fourth Proportional to 2,810.92, 4,215.57 and 836.47

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Solution

The fourth proportional to 2,810.92, 4,215.57 and 836.47 is: 1,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.92 : 4,215.57 = 836.47 : x
  2. Step 2: Convert to fraction form
    2,810.92/4,215.57 = 836.47/x
  3. Step 3: Cross multiply
    2,810.92x = 4,215.57 × 836.47
  4. Step 4: Simplify right side
    2,810.92x = 3,526,176.76
  5. Step 5: Solve for x
    x = 3,526,176.76/2,810.92
  6. Step 6: Final answer
    x = 1,254.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.