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Finding the Fourth Proportional to 2,831.13, 3,907.17 and 1,572.48

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Solution

The fourth proportional to 2,831.13, 3,907.17 and 1,572.48 is: 2,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.13 : 3,907.17 = 1,572.48 : x
  2. Step 2: Convert to fraction form
    2,831.13/3,907.17 = 1,572.48/x
  3. Step 3: Cross multiply
    2,831.13x = 3,907.17 × 1,572.48
  4. Step 4: Simplify right side
    2,831.13x = 6,143,946.68
  5. Step 5: Solve for x
    x = 6,143,946.68/2,831.13
  6. Step 6: Final answer
    x = 2,170.14

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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.