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Finding the Fourth Proportional to 2,507.09, 3,461.05 and 2,371.42

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Solution

The fourth proportional to 2,507.09, 3,461.05 and 2,371.42 is: 3,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.09 : 3,461.05 = 2,371.42 : x
  2. Step 2: Convert to fraction form
    2,507.09/3,461.05 = 2,371.42/x
  3. Step 3: Cross multiply
    2,507.09x = 3,461.05 × 2,371.42
  4. Step 4: Simplify right side
    2,507.09x = 8,207,603.19
  5. Step 5: Solve for x
    x = 8,207,603.19/2,507.09
  6. Step 6: Final answer
    x = 3,273.76

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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.