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Finding the Fourth Proportional to 2,780.83, 3,838.93 and 1,601.67

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Solution

The fourth proportional to 2,780.83, 3,838.93 and 1,601.67 is: 2,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.83 : 3,838.93 = 1,601.67 : x
  2. Step 2: Convert to fraction form
    2,780.83/3,838.93 = 1,601.67/x
  3. Step 3: Cross multiply
    2,780.83x = 3,838.93 × 1,601.67
  4. Step 4: Simplify right side
    2,780.83x = 6,148,687.81
  5. Step 5: Solve for x
    x = 6,148,687.81/2,780.83
  6. Step 6: Final answer
    x = 2,211.10

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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.