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Finding the Fourth Proportional to 2,513.70, 3,467.63 and 2,042.15

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Solution

The fourth proportional to 2,513.70, 3,467.63 and 2,042.15 is: 2,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.70 : 3,467.63 = 2,042.15 : x
  2. Step 2: Convert to fraction form
    2,513.70/3,467.63 = 2,042.15/x
  3. Step 3: Cross multiply
    2,513.70x = 3,467.63 × 2,042.15
  4. Step 4: Simplify right side
    2,513.70x = 7,081,408.37
  5. Step 5: Solve for x
    x = 7,081,408.37/2,513.70
  6. Step 6: Final answer
    x = 2,817.13

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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.