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Finding the Fourth Proportional to 2,061.36, 2,844.72 and 1,129.86

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Solution

The fourth proportional to 2,061.36, 2,844.72 and 1,129.86 is: 1,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.36 : 2,844.72 = 1,129.86 : x
  2. Step 2: Convert to fraction form
    2,061.36/2,844.72 = 1,129.86/x
  3. Step 3: Cross multiply
    2,061.36x = 2,844.72 × 1,129.86
  4. Step 4: Simplify right side
    2,061.36x = 3,214,135.34
  5. Step 5: Solve for x
    x = 3,214,135.34/2,061.36
  6. Step 6: Final answer
    x = 1,559.23

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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.