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Finding the Fourth Proportional to 2,007.10, 3,005.18 and 1,697.28

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Solution

The fourth proportional to 2,007.10, 3,005.18 and 1,697.28 is: 2,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.10 : 3,005.18 = 1,697.28 : x
  2. Step 2: Convert to fraction form
    2,007.10/3,005.18 = 1,697.28/x
  3. Step 3: Cross multiply
    2,007.10x = 3,005.18 × 1,697.28
  4. Step 4: Simplify right side
    2,007.10x = 5,100,631.91
  5. Step 5: Solve for x
    x = 5,100,631.91/2,007.10
  6. Step 6: Final answer
    x = 2,541.29

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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.