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Finding the Fourth Proportional to 3,298.24, 4,552.32 and 2,056

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Solution

The fourth proportional to 3,298.24, 4,552.32 and 2,056 is: 2,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.24 : 4,552.32 = 2,056 : x
  2. Step 2: Convert to fraction form
    3,298.24/4,552.32 = 2,056/x
  3. Step 3: Cross multiply
    3,298.24x = 4,552.32 × 2,056
  4. Step 4: Simplify right side
    3,298.24x = 9,359,569.92
  5. Step 5: Solve for x
    x = 9,359,569.92/3,298.24
  6. Step 6: Final answer
    x = 2,837.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.