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Finding the Fourth Proportional to 2,496.64, 3,447.84 and 2,056

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Solution

The fourth proportional to 2,496.64, 3,447.84 and 2,056 is: 2,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.64 : 3,447.84 = 2,056 : x
  2. Step 2: Convert to fraction form
    2,496.64/3,447.84 = 2,056/x
  3. Step 3: Cross multiply
    2,496.64x = 3,447.84 × 2,056
  4. Step 4: Simplify right side
    2,496.64x = 7,088,759.04
  5. Step 5: Solve for x
    x = 7,088,759.04/2,496.64
  6. Step 6: Final answer
    x = 2,839.32

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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.