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Finding the Fourth Proportional to 2,552.69, 3,826.57 and 1,397.63

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Solution

The fourth proportional to 2,552.69, 3,826.57 and 1,397.63 is: 2,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.69 : 3,826.57 = 1,397.63 : x
  2. Step 2: Convert to fraction form
    2,552.69/3,826.57 = 1,397.63/x
  3. Step 3: Cross multiply
    2,552.69x = 3,826.57 × 1,397.63
  4. Step 4: Simplify right side
    2,552.69x = 5,348,129.03
  5. Step 5: Solve for x
    x = 5,348,129.03/2,552.69
  6. Step 6: Final answer
    x = 2,095.10

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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.