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Finding the Fourth Proportional to 2,322.24, 3,483.48 and 1,023.72

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Solution

The fourth proportional to 2,322.24, 3,483.48 and 1,023.72 is: 1,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.24 : 3,483.48 = 1,023.72 : x
  2. Step 2: Convert to fraction form
    2,322.24/3,483.48 = 1,023.72/x
  3. Step 3: Cross multiply
    2,322.24x = 3,483.48 × 1,023.72
  4. Step 4: Simplify right side
    2,322.24x = 3,566,108.15
  5. Step 5: Solve for x
    x = 3,566,108.15/2,322.24
  6. Step 6: Final answer
    x = 1,535.63

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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.