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Finding the Fourth Proportional to 2,882.97, 4,325.93 and 1,497.41

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Solution

The fourth proportional to 2,882.97, 4,325.93 and 1,497.41 is: 2,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.97 : 4,325.93 = 1,497.41 : x
  2. Step 2: Convert to fraction form
    2,882.97/4,325.93 = 1,497.41/x
  3. Step 3: Cross multiply
    2,882.97x = 4,325.93 × 1,497.41
  4. Step 4: Simplify right side
    2,882.97x = 6,477,699.94
  5. Step 5: Solve for x
    x = 6,477,699.94/2,882.97
  6. Step 6: Final answer
    x = 2,246.89

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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.