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Finding the Fourth Proportional to 2,652.48, 3,975.73 and 1,264.68

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Solution

The fourth proportional to 2,652.48, 3,975.73 and 1,264.68 is: 1,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.48 : 3,975.73 = 1,264.68 : x
  2. Step 2: Convert to fraction form
    2,652.48/3,975.73 = 1,264.68/x
  3. Step 3: Cross multiply
    2,652.48x = 3,975.73 × 1,264.68
  4. Step 4: Simplify right side
    2,652.48x = 5,028,026.22
  5. Step 5: Solve for x
    x = 5,028,026.22/2,652.48
  6. Step 6: Final answer
    x = 1,895.59

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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.