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Finding the Fourth Proportional to 1,967.22, 2,949.84 and 870.30

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Solution

The fourth proportional to 1,967.22, 2,949.84 and 870.30 is: 1,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.22 : 2,949.84 = 870.30 : x
  2. Step 2: Convert to fraction form
    1,967.22/2,949.84 = 870.30/x
  3. Step 3: Cross multiply
    1,967.22x = 2,949.84 × 870.30
  4. Step 4: Simplify right side
    1,967.22x = 2,567,245.75
  5. Step 5: Solve for x
    x = 2,567,245.75/1,967.22
  6. Step 6: Final answer
    x = 1,305.01

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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.