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Finding the Fourth Proportional to 2,328.82, 3,214.52 and 1,491.77

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Solution

The fourth proportional to 2,328.82, 3,214.52 and 1,491.77 is: 2,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.82 : 3,214.52 = 1,491.77 : x
  2. Step 2: Convert to fraction form
    2,328.82/3,214.52 = 1,491.77/x
  3. Step 3: Cross multiply
    2,328.82x = 3,214.52 × 1,491.77
  4. Step 4: Simplify right side
    2,328.82x = 4,795,317.04
  5. Step 5: Solve for x
    x = 4,795,317.04/2,328.82
  6. Step 6: Final answer
    x = 2,059.12

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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.