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Finding the Fourth Proportional to 2,780.40, 3,835.76 and 1,601.22

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Solution

The fourth proportional to 2,780.40, 3,835.76 and 1,601.22 is: 2,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.40 : 3,835.76 = 1,601.22 : x
  2. Step 2: Convert to fraction form
    2,780.40/3,835.76 = 1,601.22/x
  3. Step 3: Cross multiply
    2,780.40x = 3,835.76 × 1,601.22
  4. Step 4: Simplify right side
    2,780.40x = 6,141,895.63
  5. Step 5: Solve for x
    x = 6,141,895.63/2,780.40
  6. Step 6: Final answer
    x = 2,209.00

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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.