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Finding the Fourth Proportional to 2,950.80, 4,425.27 and 870.29

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Solution

The fourth proportional to 2,950.80, 4,425.27 and 870.29 is: 1,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.80 : 4,425.27 = 870.29 : x
  2. Step 2: Convert to fraction form
    2,950.80/4,425.27 = 870.29/x
  3. Step 3: Cross multiply
    2,950.80x = 4,425.27 × 870.29
  4. Step 4: Simplify right side
    2,950.80x = 3,851,268.23
  5. Step 5: Solve for x
    x = 3,851,268.23/2,950.80
  6. Step 6: Final answer
    x = 1,305.16

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