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Finding the Fourth Proportional to 3,244.86, 4,862.67 and 2,511

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Solution

The fourth proportional to 3,244.86, 4,862.67 and 2,511 is: 3,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.86 : 4,862.67 = 2,511 : x
  2. Step 2: Convert to fraction form
    3,244.86/4,862.67 = 2,511/x
  3. Step 3: Cross multiply
    3,244.86x = 4,862.67 × 2,511
  4. Step 4: Simplify right side
    3,244.86x = 12,210,164.37
  5. Step 5: Solve for x
    x = 12,210,164.37/3,244.86
  6. Step 6: Final answer
    x = 3,762.92

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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.