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Finding the Fourth Proportional to 2,644.22, 3,963.15 and 977.02

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Solution

The fourth proportional to 2,644.22, 3,963.15 and 977.02 is: 1,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.22 : 3,963.15 = 977.02 : x
  2. Step 2: Convert to fraction form
    2,644.22/3,963.15 = 977.02/x
  3. Step 3: Cross multiply
    2,644.22x = 3,963.15 × 977.02
  4. Step 4: Simplify right side
    2,644.22x = 3,872,066.91
  5. Step 5: Solve for x
    x = 3,872,066.91/2,644.22
  6. Step 6: Final answer
    x = 1,464.35

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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.