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Finding the Fourth Proportional to 2,812.74, 3,881.53 and 1,553.77

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Solution

The fourth proportional to 2,812.74, 3,881.53 and 1,553.77 is: 2,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.74 : 3,881.53 = 1,553.77 : x
  2. Step 2: Convert to fraction form
    2,812.74/3,881.53 = 1,553.77/x
  3. Step 3: Cross multiply
    2,812.74x = 3,881.53 × 1,553.77
  4. Step 4: Simplify right side
    2,812.74x = 6,031,004.87
  5. Step 5: Solve for x
    x = 6,031,004.87/2,812.74
  6. Step 6: Final answer
    x = 2,144.17

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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.