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Finding the Fourth Proportional to 2,156.40, 2,975.52 and 1,224.84

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Solution

The fourth proportional to 2,156.40, 2,975.52 and 1,224.84 is: 1,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.40 : 2,975.52 = 1,224.84 : x
  2. Step 2: Convert to fraction form
    2,156.40/2,975.52 = 1,224.84/x
  3. Step 3: Cross multiply
    2,156.40x = 2,975.52 × 1,224.84
  4. Step 4: Simplify right side
    2,156.40x = 3,644,535.92
  5. Step 5: Solve for x
    x = 3,644,535.92/2,156.40
  6. Step 6: Final answer
    x = 1,690.10

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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.