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Finding the Fourth Proportional to 3,157.47, 4,358.34 and 1,831.50

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Solution

The fourth proportional to 3,157.47, 4,358.34 and 1,831.50 is: 2,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.47 : 4,358.34 = 1,831.50 : x
  2. Step 2: Convert to fraction form
    3,157.47/4,358.34 = 1,831.50/x
  3. Step 3: Cross multiply
    3,157.47x = 4,358.34 × 1,831.50
  4. Step 4: Simplify right side
    3,157.47x = 7,982,299.71
  5. Step 5: Solve for x
    x = 7,982,299.71/3,157.47
  6. Step 6: Final answer
    x = 2,528.07

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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.