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Finding the Fourth Proportional to 2,762.24, 4,143.84 and 1,223.36

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Solution

The fourth proportional to 2,762.24, 4,143.84 and 1,223.36 is: 1,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.24 : 4,143.84 = 1,223.36 : x
  2. Step 2: Convert to fraction form
    2,762.24/4,143.84 = 1,223.36/x
  3. Step 3: Cross multiply
    2,762.24x = 4,143.84 × 1,223.36
  4. Step 4: Simplify right side
    2,762.24x = 5,069,408.10
  5. Step 5: Solve for x
    x = 5,069,408.10/2,762.24
  6. Step 6: Final answer
    x = 1,835.25

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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.