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Finding the Fourth Proportional to 2,156.49, 2,975.94 and 1,224.99

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Solution

The fourth proportional to 2,156.49, 2,975.94 and 1,224.99 is: 1,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.49 : 2,975.94 = 1,224.99 : x
  2. Step 2: Convert to fraction form
    2,156.49/2,975.94 = 1,224.99/x
  3. Step 3: Cross multiply
    2,156.49x = 2,975.94 × 1,224.99
  4. Step 4: Simplify right side
    2,156.49x = 3,645,496.74
  5. Step 5: Solve for x
    x = 3,645,496.74/2,156.49
  6. Step 6: Final answer
    x = 1,690.48

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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.