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Finding the Fourth Proportional to 2,541.92, 3,506.58 and 2,192

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Solution

The fourth proportional to 2,541.92, 3,506.58 and 2,192 is: 3,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.92 : 3,506.58 = 2,192 : x
  2. Step 2: Convert to fraction form
    2,541.92/3,506.58 = 2,192/x
  3. Step 3: Cross multiply
    2,541.92x = 3,506.58 × 2,192
  4. Step 4: Simplify right side
    2,541.92x = 7,686,423.36
  5. Step 5: Solve for x
    x = 7,686,423.36/2,541.92
  6. Step 6: Final answer
    x = 3,023.87

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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.