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Finding the Fourth Proportional to 1,350.72, 1,863 and 1,019.16

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Solution

The fourth proportional to 1,350.72, 1,863 and 1,019.16 is: 1,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.72 : 1,863 = 1,019.16 : x
  2. Step 2: Convert to fraction form
    1,350.72/1,863 = 1,019.16/x
  3. Step 3: Cross multiply
    1,350.72x = 1,863 × 1,019.16
  4. Step 4: Simplify right side
    1,350.72x = 1,898,695.08
  5. Step 5: Solve for x
    x = 1,898,695.08/1,350.72
  6. Step 6: Final answer
    x = 1,405.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.