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Finding the Fourth Proportional to 2,099.58, 2,901.18 and 1,509.09

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Solution

The fourth proportional to 2,099.58, 2,901.18 and 1,509.09 is: 2,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.58 : 2,901.18 = 1,509.09 : x
  2. Step 2: Convert to fraction form
    2,099.58/2,901.18 = 1,509.09/x
  3. Step 3: Cross multiply
    2,099.58x = 2,901.18 × 1,509.09
  4. Step 4: Simplify right side
    2,099.58x = 4,378,141.73
  5. Step 5: Solve for x
    x = 4,378,141.73/2,099.58
  6. Step 6: Final answer
    x = 2,085.25

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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.