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Finding the Fourth Proportional to 2,652.12, 3,972.60 and 1,266.60

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Solution

The fourth proportional to 2,652.12, 3,972.60 and 1,266.60 is: 1,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.12 : 3,972.60 = 1,266.60 : x
  2. Step 2: Convert to fraction form
    2,652.12/3,972.60 = 1,266.60/x
  3. Step 3: Cross multiply
    2,652.12x = 3,972.60 × 1,266.60
  4. Step 4: Simplify right side
    2,652.12x = 5,031,695.16
  5. Step 5: Solve for x
    x = 5,031,695.16/2,652.12
  6. Step 6: Final answer
    x = 1,897.24

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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.