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Finding the Fourth Proportional to 2,260.76, 3,122.69 and 2,050.25

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Solution

The fourth proportional to 2,260.76, 3,122.69 and 2,050.25 is: 2,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.76 : 3,122.69 = 2,050.25 : x
  2. Step 2: Convert to fraction form
    2,260.76/3,122.69 = 2,050.25/x
  3. Step 3: Cross multiply
    2,260.76x = 3,122.69 × 2,050.25
  4. Step 4: Simplify right side
    2,260.76x = 6,402,269.31
  5. Step 5: Solve for x
    x = 6,402,269.31/2,260.76
  6. Step 6: Final answer
    x = 2,831.92

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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.