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Finding the Fourth Proportional to 2,295.68, 3,168.32 and 1,513.24

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Solution

The fourth proportional to 2,295.68, 3,168.32 and 1,513.24 is: 2,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.68 : 3,168.32 = 1,513.24 : x
  2. Step 2: Convert to fraction form
    2,295.68/3,168.32 = 1,513.24/x
  3. Step 3: Cross multiply
    2,295.68x = 3,168.32 × 1,513.24
  4. Step 4: Simplify right side
    2,295.68x = 4,794,428.56
  5. Step 5: Solve for x
    x = 4,794,428.56/2,295.68
  6. Step 6: Final answer
    x = 2,088.46

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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.