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Finding the Fourth Proportional to 2,477.77, 3,717.24 and 722.83

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Solution

The fourth proportional to 2,477.77, 3,717.24 and 722.83 is: 1,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.77 : 3,717.24 = 722.83 : x
  2. Step 2: Convert to fraction form
    2,477.77/3,717.24 = 722.83/x
  3. Step 3: Cross multiply
    2,477.77x = 3,717.24 × 722.83
  4. Step 4: Simplify right side
    2,477.77x = 2,686,932.59
  5. Step 5: Solve for x
    x = 2,686,932.59/2,477.77
  6. Step 6: Final answer
    x = 1,084.42

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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.