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Finding the Fourth Proportional to 2,170.56, 2,994 and 1,473.12

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Solution

The fourth proportional to 2,170.56, 2,994 and 1,473.12 is: 2,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.56 : 2,994 = 1,473.12 : x
  2. Step 2: Convert to fraction form
    2,170.56/2,994 = 1,473.12/x
  3. Step 3: Cross multiply
    2,170.56x = 2,994 × 1,473.12
  4. Step 4: Simplify right side
    2,170.56x = 4,410,521.28
  5. Step 5: Solve for x
    x = 4,410,521.28/2,170.56
  6. Step 6: Final answer
    x = 2,031.97

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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.