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Finding the Fourth Proportional to 2,810.78, 4,215.43 and 835.87

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Solution

The fourth proportional to 2,810.78, 4,215.43 and 835.87 is: 1,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.78 : 4,215.43 = 835.87 : x
  2. Step 2: Convert to fraction form
    2,810.78/4,215.43 = 835.87/x
  3. Step 3: Cross multiply
    2,810.78x = 4,215.43 × 835.87
  4. Step 4: Simplify right side
    2,810.78x = 3,523,561.17
  5. Step 5: Solve for x
    x = 3,523,561.17/2,810.78
  6. Step 6: Final answer
    x = 1,253.59

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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.