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Finding the Fourth Proportional to 2,950.83, 4,425.60 and 870.27

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Solution

The fourth proportional to 2,950.83, 4,425.60 and 870.27 is: 1,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.83 : 4,425.60 = 870.27 : x
  2. Step 2: Convert to fraction form
    2,950.83/4,425.60 = 870.27/x
  3. Step 3: Cross multiply
    2,950.83x = 4,425.60 × 870.27
  4. Step 4: Simplify right side
    2,950.83x = 3,851,466.91
  5. Step 5: Solve for x
    x = 3,851,466.91/2,950.83
  6. Step 6: Final answer
    x = 1,305.21

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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.