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Finding the Fourth Proportional to 2,790.71, 3,851.11 and 1,531.77

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Solution

The fourth proportional to 2,790.71, 3,851.11 and 1,531.77 is: 2,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.71 : 3,851.11 = 1,531.77 : x
  2. Step 2: Convert to fraction form
    2,790.71/3,851.11 = 1,531.77/x
  3. Step 3: Cross multiply
    2,790.71x = 3,851.11 × 1,531.77
  4. Step 4: Simplify right side
    2,790.71x = 5,899,014.76
  5. Step 5: Solve for x
    x = 5,899,014.76/2,790.71
  6. Step 6: Final answer
    x = 2,113.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.