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Finding the Fourth Proportional to 2,170.30, 2,995.04 and 1,319.32

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Solution

The fourth proportional to 2,170.30, 2,995.04 and 1,319.32 is: 1,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.30 : 2,995.04 = 1,319.32 : x
  2. Step 2: Convert to fraction form
    2,170.30/2,995.04 = 1,319.32/x
  3. Step 3: Cross multiply
    2,170.30x = 2,995.04 × 1,319.32
  4. Step 4: Simplify right side
    2,170.30x = 3,951,416.17
  5. Step 5: Solve for x
    x = 3,951,416.17/2,170.30
  6. Step 6: Final answer
    x = 1,820.68

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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.