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Finding the Fourth Proportional to 2,823.66, 4,238.05 and 1,437.92

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Solution

The fourth proportional to 2,823.66, 4,238.05 and 1,437.92 is: 2,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.66 : 4,238.05 = 1,437.92 : x
  2. Step 2: Convert to fraction form
    2,823.66/4,238.05 = 1,437.92/x
  3. Step 3: Cross multiply
    2,823.66x = 4,238.05 × 1,437.92
  4. Step 4: Simplify right side
    2,823.66x = 6,093,976.86
  5. Step 5: Solve for x
    x = 6,093,976.86/2,823.66
  6. Step 6: Final answer
    x = 2,158.18

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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.