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Finding the Fourth Proportional to 2,835.72, 4,254.12 and 887.76

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Solution

The fourth proportional to 2,835.72, 4,254.12 and 887.76 is: 1,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.72 : 4,254.12 = 887.76 : x
  2. Step 2: Convert to fraction form
    2,835.72/4,254.12 = 887.76/x
  3. Step 3: Cross multiply
    2,835.72x = 4,254.12 × 887.76
  4. Step 4: Simplify right side
    2,835.72x = 3,776,637.57
  5. Step 5: Solve for x
    x = 3,776,637.57/2,835.72
  6. Step 6: Final answer
    x = 1,331.81

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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.