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Finding the Fourth Proportional to 2,797.53, 4,196.03 and 1,410.32

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Solution

The fourth proportional to 2,797.53, 4,196.03 and 1,410.32 is: 2,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.53 : 4,196.03 = 1,410.32 : x
  2. Step 2: Convert to fraction form
    2,797.53/4,196.03 = 1,410.32/x
  3. Step 3: Cross multiply
    2,797.53x = 4,196.03 × 1,410.32
  4. Step 4: Simplify right side
    2,797.53x = 5,917,717.00
  5. Step 5: Solve for x
    x = 5,917,717.00/2,797.53
  6. Step 6: Final answer
    x = 2,115.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.