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Finding the Fourth Proportional to 2,648.01, 3,971.19 and 1,831.53

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Solution

The fourth proportional to 2,648.01, 3,971.19 and 1,831.53 is: 2,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.01 : 3,971.19 = 1,831.53 : x
  2. Step 2: Convert to fraction form
    2,648.01/3,971.19 = 1,831.53/x
  3. Step 3: Cross multiply
    2,648.01x = 3,971.19 × 1,831.53
  4. Step 4: Simplify right side
    2,648.01x = 7,273,353.62
  5. Step 5: Solve for x
    x = 7,273,353.62/2,648.01
  6. Step 6: Final answer
    x = 2,746.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.