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Finding the Fourth Proportional to 2,780.60, 3,836.58 and 1,898.24

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Solution

The fourth proportional to 2,780.60, 3,836.58 and 1,898.24 is: 2,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.60 : 3,836.58 = 1,898.24 : x
  2. Step 2: Convert to fraction form
    2,780.60/3,836.58 = 1,898.24/x
  3. Step 3: Cross multiply
    2,780.60x = 3,836.58 × 1,898.24
  4. Step 4: Simplify right side
    2,780.60x = 7,282,749.62
  5. Step 5: Solve for x
    x = 7,282,749.62/2,780.60
  6. Step 6: Final answer
    x = 2,619.13

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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.