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Finding the Fourth Proportional to 2,746.30, 4,116.53 and 896.91

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Solution

The fourth proportional to 2,746.30, 4,116.53 and 896.91 is: 1,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.30 : 4,116.53 = 896.91 : x
  2. Step 2: Convert to fraction form
    2,746.30/4,116.53 = 896.91/x
  3. Step 3: Cross multiply
    2,746.30x = 4,116.53 × 896.91
  4. Step 4: Simplify right side
    2,746.30x = 3,692,175.94
  5. Step 5: Solve for x
    x = 3,692,175.94/2,746.30
  6. Step 6: Final answer
    x = 1,344.42

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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.