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Finding the Fourth Proportional to 2,047.19, 3,065.30 and 1,223.42

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Solution

The fourth proportional to 2,047.19, 3,065.30 and 1,223.42 is: 1,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.19 : 3,065.30 = 1,223.42 : x
  2. Step 2: Convert to fraction form
    2,047.19/3,065.30 = 1,223.42/x
  3. Step 3: Cross multiply
    2,047.19x = 3,065.30 × 1,223.42
  4. Step 4: Simplify right side
    2,047.19x = 3,750,137.06
  5. Step 5: Solve for x
    x = 3,750,137.06/2,047.19
  6. Step 6: Final answer
    x = 1,831.85

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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.