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Finding the Fourth Proportional to 2,862.16, 4,274.18 and 2,831.23

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Solution

The fourth proportional to 2,862.16, 4,274.18 and 2,831.23 is: 4,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.16 : 4,274.18 = 2,831.23 : x
  2. Step 2: Convert to fraction form
    2,862.16/4,274.18 = 2,831.23/x
  3. Step 3: Cross multiply
    2,862.16x = 4,274.18 × 2,831.23
  4. Step 4: Simplify right side
    2,862.16x = 12,101,186.64
  5. Step 5: Solve for x
    x = 12,101,186.64/2,862.16
  6. Step 6: Final answer
    x = 4,227.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.