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Finding the Fourth Proportional to 2,051.52, 2,831.13 and 1,120.02

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Solution

The fourth proportional to 2,051.52, 2,831.13 and 1,120.02 is: 1,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.52 : 2,831.13 = 1,120.02 : x
  2. Step 2: Convert to fraction form
    2,051.52/2,831.13 = 1,120.02/x
  3. Step 3: Cross multiply
    2,051.52x = 2,831.13 × 1,120.02
  4. Step 4: Simplify right side
    2,051.52x = 3,170,922.22
  5. Step 5: Solve for x
    x = 3,170,922.22/2,051.52
  6. Step 6: Final answer
    x = 1,545.65

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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.