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Finding the Fourth Proportional to 2,610.93, 3,916.00 and 855.41

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Solution

The fourth proportional to 2,610.93, 3,916.00 and 855.41 is: 1,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.93 : 3,916.00 = 855.41 : x
  2. Step 2: Convert to fraction form
    2,610.93/3,916.00 = 855.41/x
  3. Step 3: Cross multiply
    2,610.93x = 3,916.00 × 855.41
  4. Step 4: Simplify right side
    2,610.93x = 3,349,784.27
  5. Step 5: Solve for x
    x = 3,349,784.27/2,610.93
  6. Step 6: Final answer
    x = 1,282.98

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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.