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Finding the Fourth Proportional to 2,831.89, 3,907.63 and 1,572.77

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Solution

The fourth proportional to 2,831.89, 3,907.63 and 1,572.77 is: 2,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.89 : 3,907.63 = 1,572.77 : x
  2. Step 2: Convert to fraction form
    2,831.89/3,907.63 = 1,572.77/x
  3. Step 3: Cross multiply
    2,831.89x = 3,907.63 × 1,572.77
  4. Step 4: Simplify right side
    2,831.89x = 6,145,790.78
  5. Step 5: Solve for x
    x = 6,145,790.78/2,831.89
  6. Step 6: Final answer
    x = 2,170.21

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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.