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Finding the Fourth Proportional to 2,378.83, 3,543.16 and 2,272.23

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Solution

The fourth proportional to 2,378.83, 3,543.16 and 2,272.23 is: 3,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.83 : 3,543.16 = 2,272.23 : x
  2. Step 2: Convert to fraction form
    2,378.83/3,543.16 = 2,272.23/x
  3. Step 3: Cross multiply
    2,378.83x = 3,543.16 × 2,272.23
  4. Step 4: Simplify right side
    2,378.83x = 8,050,874.45
  5. Step 5: Solve for x
    x = 8,050,874.45/2,378.83
  6. Step 6: Final answer
    x = 3,384.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.