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Finding the Fourth Proportional to 2,564.30, 3,513.10 and 2,468.31

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Solution

The fourth proportional to 2,564.30, 3,513.10 and 2,468.31 is: 3,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.30 : 3,513.10 = 2,468.31 : x
  2. Step 2: Convert to fraction form
    2,564.30/3,513.10 = 2,468.31/x
  3. Step 3: Cross multiply
    2,564.30x = 3,513.10 × 2,468.31
  4. Step 4: Simplify right side
    2,564.30x = 8,671,419.86
  5. Step 5: Solve for x
    x = 8,671,419.86/2,564.30
  6. Step 6: Final answer
    x = 3,381.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.