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Finding the Fourth Proportional to 2,118.52, 2,923.80 and 1,222.47

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Solution

The fourth proportional to 2,118.52, 2,923.80 and 1,222.47 is: 1,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.52 : 2,923.80 = 1,222.47 : x
  2. Step 2: Convert to fraction form
    2,118.52/2,923.80 = 1,222.47/x
  3. Step 3: Cross multiply
    2,118.52x = 2,923.80 × 1,222.47
  4. Step 4: Simplify right side
    2,118.52x = 3,574,257.79
  5. Step 5: Solve for x
    x = 3,574,257.79/2,118.52
  6. Step 6: Final answer
    x = 1,687.15

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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.