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Finding the Fourth Proportional to 2,465.24, 3,403.56 and 2,024.24

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Solution

The fourth proportional to 2,465.24, 3,403.56 and 2,024.24 is: 2,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.24 : 3,403.56 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    2,465.24/3,403.56 = 2,024.24/x
  3. Step 3: Cross multiply
    2,465.24x = 3,403.56 × 2,024.24
  4. Step 4: Simplify right side
    2,465.24x = 6,889,622.29
  5. Step 5: Solve for x
    x = 6,889,622.29/2,465.24
  6. Step 6: Final answer
    x = 2,794.71

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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.