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Finding the Fourth Proportional to 1,824.17, 2,737.77 and 1,073.00

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Solution

The fourth proportional to 1,824.17, 2,737.77 and 1,073.00 is: 1,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.17 : 2,737.77 = 1,073.00 : x
  2. Step 2: Convert to fraction form
    1,824.17/2,737.77 = 1,073.00/x
  3. Step 3: Cross multiply
    1,824.17x = 2,737.77 × 1,073.00
  4. Step 4: Simplify right side
    1,824.17x = 2,937,623.68
  5. Step 5: Solve for x
    x = 2,937,623.68/1,824.17
  6. Step 6: Final answer
    x = 1,610.39

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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.