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Finding the Fourth Proportional to 1,644.15, 2,268.72 and 971.94

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Solution

The fourth proportional to 1,644.15, 2,268.72 and 971.94 is: 1,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.15 : 2,268.72 = 971.94 : x
  2. Step 2: Convert to fraction form
    1,644.15/2,268.72 = 971.94/x
  3. Step 3: Cross multiply
    1,644.15x = 2,268.72 × 971.94
  4. Step 4: Simplify right side
    1,644.15x = 2,205,059.72
  5. Step 5: Solve for x
    x = 2,205,059.72/1,644.15
  6. Step 6: Final answer
    x = 1,341.15

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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.