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Finding the Fourth Proportional to 2,156.25, 2,975.64 and 1,224.75

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Solution

The fourth proportional to 2,156.25, 2,975.64 and 1,224.75 is: 1,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.25 : 2,975.64 = 1,224.75 : x
  2. Step 2: Convert to fraction form
    2,156.25/2,975.64 = 1,224.75/x
  3. Step 3: Cross multiply
    2,156.25x = 2,975.64 × 1,224.75
  4. Step 4: Simplify right side
    2,156.25x = 3,644,415.09
  5. Step 5: Solve for x
    x = 3,644,415.09/2,156.25
  6. Step 6: Final answer
    x = 1,690.16

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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.