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Finding the Fourth Proportional to 3,156.90, 4,357.28 and 1,831.34

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Solution

The fourth proportional to 3,156.90, 4,357.28 and 1,831.34 is: 2,527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.90 : 4,357.28 = 1,831.34 : x
  2. Step 2: Convert to fraction form
    3,156.90/4,357.28 = 1,831.34/x
  3. Step 3: Cross multiply
    3,156.90x = 4,357.28 × 1,831.34
  4. Step 4: Simplify right side
    3,156.90x = 7,979,661.16
  5. Step 5: Solve for x
    x = 7,979,661.16/3,156.90
  6. Step 6: Final answer
    x = 2,527.69

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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.