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Finding the Fourth Proportional to 2,025.39, 2,795.02 and 1,141.47

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Solution

The fourth proportional to 2,025.39, 2,795.02 and 1,141.47 is: 1,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.39 : 2,795.02 = 1,141.47 : x
  2. Step 2: Convert to fraction form
    2,025.39/2,795.02 = 1,141.47/x
  3. Step 3: Cross multiply
    2,025.39x = 2,795.02 × 1,141.47
  4. Step 4: Simplify right side
    2,025.39x = 3,190,425.77
  5. Step 5: Solve for x
    x = 3,190,425.77/2,025.39
  6. Step 6: Final answer
    x = 1,575.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.