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Finding the Fourth Proportional to 2,950.16, 4,425.37 and 870.12

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Solution

The fourth proportional to 2,950.16, 4,425.37 and 870.12 is: 1,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.16 : 4,425.37 = 870.12 : x
  2. Step 2: Convert to fraction form
    2,950.16/4,425.37 = 870.12/x
  3. Step 3: Cross multiply
    2,950.16x = 4,425.37 × 870.12
  4. Step 4: Simplify right side
    2,950.16x = 3,850,600.77
  5. Step 5: Solve for x
    x = 3,850,600.77/2,950.16
  6. Step 6: Final answer
    x = 1,305.22

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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.