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Finding the Fourth Proportional to 2,016.77, 2,782.46 and 1,132.40

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Solution

The fourth proportional to 2,016.77, 2,782.46 and 1,132.40 is: 1,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.77 : 2,782.46 = 1,132.40 : x
  2. Step 2: Convert to fraction form
    2,016.77/2,782.46 = 1,132.40/x
  3. Step 3: Cross multiply
    2,016.77x = 2,782.46 × 1,132.40
  4. Step 4: Simplify right side
    2,016.77x = 3,150,838.13
  5. Step 5: Solve for x
    x = 3,150,838.13/2,016.77
  6. Step 6: Final answer
    x = 1,562.32

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Why These Related Problems?

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