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Finding the Fourth Proportional to 2,831.88, 3,907.96 and 1,572.94

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Solution

The fourth proportional to 2,831.88, 3,907.96 and 1,572.94 is: 2,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.88 : 3,907.96 = 1,572.94 : x
  2. Step 2: Convert to fraction form
    2,831.88/3,907.96 = 1,572.94/x
  3. Step 3: Cross multiply
    2,831.88x = 3,907.96 × 1,572.94
  4. Step 4: Simplify right side
    2,831.88x = 6,146,986.60
  5. Step 5: Solve for x
    x = 6,146,986.60/2,831.88
  6. Step 6: Final answer
    x = 2,170.64

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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.