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Finding the Fourth Proportional to 2,646.44, 3,652.09 and 1,467.52

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Solution

The fourth proportional to 2,646.44, 3,652.09 and 1,467.52 is: 2,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.44 : 3,652.09 = 1,467.52 : x
  2. Step 2: Convert to fraction form
    2,646.44/3,652.09 = 1,467.52/x
  3. Step 3: Cross multiply
    2,646.44x = 3,652.09 × 1,467.52
  4. Step 4: Simplify right side
    2,646.44x = 5,359,502.32
  5. Step 5: Solve for x
    x = 5,359,502.32/2,646.44
  6. Step 6: Final answer
    x = 2,025.18

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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.