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Finding the Fourth Proportional to 2,111.77, 2,912.70 and 1,831.52

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Solution

The fourth proportional to 2,111.77, 2,912.70 and 1,831.52 is: 2,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.77 : 2,912.70 = 1,831.52 : x
  2. Step 2: Convert to fraction form
    2,111.77/2,912.70 = 1,831.52/x
  3. Step 3: Cross multiply
    2,111.77x = 2,912.70 × 1,831.52
  4. Step 4: Simplify right side
    2,111.77x = 5,334,668.30
  5. Step 5: Solve for x
    x = 5,334,668.30/2,111.77
  6. Step 6: Final answer
    x = 2,526.16

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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.