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Finding the Fourth Proportional to 2,016.37, 2,780.02 and 1,306.99

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Solution

The fourth proportional to 2,016.37, 2,780.02 and 1,306.99 is: 1,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.37 : 2,780.02 = 1,306.99 : x
  2. Step 2: Convert to fraction form
    2,016.37/2,780.02 = 1,306.99/x
  3. Step 3: Cross multiply
    2,016.37x = 2,780.02 × 1,306.99
  4. Step 4: Simplify right side
    2,016.37x = 3,633,458.34
  5. Step 5: Solve for x
    x = 3,633,458.34/2,016.37
  6. Step 6: Final answer
    x = 1,801.98

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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.