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Finding the Fourth Proportional to 3,156.86, 4,356.47 and 1,831.34

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Solution

The fourth proportional to 3,156.86, 4,356.47 and 1,831.34 is: 2,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.86 : 4,356.47 = 1,831.34 : x
  2. Step 2: Convert to fraction form
    3,156.86/4,356.47 = 1,831.34/x
  3. Step 3: Cross multiply
    3,156.86x = 4,356.47 × 1,831.34
  4. Step 4: Simplify right side
    3,156.86x = 7,978,193.24
  5. Step 5: Solve for x
    x = 7,978,193.24/3,156.86
  6. Step 6: Final answer
    x = 2,527.26

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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.