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Finding the Fourth Proportional to 1,402.87, 2,103.37 and 672.05

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Solution

The fourth proportional to 1,402.87, 2,103.37 and 672.05 is: 1,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.87 : 2,103.37 = 672.05 : x
  2. Step 2: Convert to fraction form
    1,402.87/2,103.37 = 672.05/x
  3. Step 3: Cross multiply
    1,402.87x = 2,103.37 × 672.05
  4. Step 4: Simplify right side
    1,402.87x = 1,413,561.56
  5. Step 5: Solve for x
    x = 1,413,561.56/1,402.87
  6. Step 6: Final answer
    x = 1,007.62

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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.