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Finding the Fourth Proportional to 2,780.59, 3,837.18 and 1,521.63

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Solution

The fourth proportional to 2,780.59, 3,837.18 and 1,521.63 is: 2,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.59 : 3,837.18 = 1,521.63 : x
  2. Step 2: Convert to fraction form
    2,780.59/3,837.18 = 1,521.63/x
  3. Step 3: Cross multiply
    2,780.59x = 3,837.18 × 1,521.63
  4. Step 4: Simplify right side
    2,780.59x = 5,838,764.40
  5. Step 5: Solve for x
    x = 5,838,764.40/2,780.59
  6. Step 6: Final answer
    x = 2,099.83

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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.