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Finding the Fourth Proportional to 2,434.11, 3,645.90 and 1,509.90

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Solution

The fourth proportional to 2,434.11, 3,645.90 and 1,509.90 is: 2,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.11 : 3,645.90 = 1,509.90 : x
  2. Step 2: Convert to fraction form
    2,434.11/3,645.90 = 1,509.90/x
  3. Step 3: Cross multiply
    2,434.11x = 3,645.90 × 1,509.90
  4. Step 4: Simplify right side
    2,434.11x = 5,504,944.41
  5. Step 5: Solve for x
    x = 5,504,944.41/2,434.11
  6. Step 6: Final answer
    x = 2,261.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.