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Finding the Fourth Proportional to 2,007.82, 3,004.98 and 1,931.14

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Solution

The fourth proportional to 2,007.82, 3,004.98 and 1,931.14 is: 2,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.82 : 3,004.98 = 1,931.14 : x
  2. Step 2: Convert to fraction form
    2,007.82/3,004.98 = 1,931.14/x
  3. Step 3: Cross multiply
    2,007.82x = 3,004.98 × 1,931.14
  4. Step 4: Simplify right side
    2,007.82x = 5,803,037.08
  5. Step 5: Solve for x
    x = 5,803,037.08/2,007.82
  6. Step 6: Final answer
    x = 2,890.22

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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.