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Finding the Fourth Proportional to 2,006.55, 3,011.37 and 896.31

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Solution

The fourth proportional to 2,006.55, 3,011.37 and 896.31 is: 1,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.55 : 3,011.37 = 896.31 : x
  2. Step 2: Convert to fraction form
    2,006.55/3,011.37 = 896.31/x
  3. Step 3: Cross multiply
    2,006.55x = 3,011.37 × 896.31
  4. Step 4: Simplify right side
    2,006.55x = 2,699,121.04
  5. Step 5: Solve for x
    x = 2,699,121.04/2,006.55
  6. Step 6: Final answer
    x = 1,345.16

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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.