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Finding the Fourth Proportional to 2,421.64, 3,629.22 and 1,266.04

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Solution

The fourth proportional to 2,421.64, 3,629.22 and 1,266.04 is: 1,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.64 : 3,629.22 = 1,266.04 : x
  2. Step 2: Convert to fraction form
    2,421.64/3,629.22 = 1,266.04/x
  3. Step 3: Cross multiply
    2,421.64x = 3,629.22 × 1,266.04
  4. Step 4: Simplify right side
    2,421.64x = 4,594,737.69
  5. Step 5: Solve for x
    x = 4,594,737.69/2,421.64
  6. Step 6: Final answer
    x = 1,897.37

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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.