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Finding the Fourth Proportional to 2,275.53, 3,410.86 and 1,624.29

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Solution

The fourth proportional to 2,275.53, 3,410.86 and 1,624.29 is: 2,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.53 : 3,410.86 = 1,624.29 : x
  2. Step 2: Convert to fraction form
    2,275.53/3,410.86 = 1,624.29/x
  3. Step 3: Cross multiply
    2,275.53x = 3,410.86 × 1,624.29
  4. Step 4: Simplify right side
    2,275.53x = 5,540,211.98
  5. Step 5: Solve for x
    x = 5,540,211.98/2,275.53
  6. Step 6: Final answer
    x = 2,434.69

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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.