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Finding the Fourth Proportional to 2,005.00, 3,007.51 and 1,695.94

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Solution

The fourth proportional to 2,005.00, 3,007.51 and 1,695.94 is: 2,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.00 : 3,007.51 = 1,695.94 : x
  2. Step 2: Convert to fraction form
    2,005.00/3,007.51 = 1,695.94/x
  3. Step 3: Cross multiply
    2,005.00x = 3,007.51 × 1,695.94
  4. Step 4: Simplify right side
    2,005.00x = 5,100,544.75
  5. Step 5: Solve for x
    x = 5,100,544.75/2,005.00
  6. Step 6: Final answer
    x = 2,543.92

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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.