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Finding the Fourth Proportional to 2,156.06, 2,975.38 and 1,224.56

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Solution

The fourth proportional to 2,156.06, 2,975.38 and 1,224.56 is: 1,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.06 : 2,975.38 = 1,224.56 : x
  2. Step 2: Convert to fraction form
    2,156.06/2,975.38 = 1,224.56/x
  3. Step 3: Cross multiply
    2,156.06x = 2,975.38 × 1,224.56
  4. Step 4: Simplify right side
    2,156.06x = 3,643,535.71
  5. Step 5: Solve for x
    x = 3,643,535.71/2,156.06
  6. Step 6: Final answer
    x = 1,689.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.