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Finding the Fourth Proportional to 2,118.54, 2,923.62 and 1,222.40

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Solution

The fourth proportional to 2,118.54, 2,923.62 and 1,222.40 is: 1,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.54 : 2,923.62 = 1,222.40 : x
  2. Step 2: Convert to fraction form
    2,118.54/2,923.62 = 1,222.40/x
  3. Step 3: Cross multiply
    2,118.54x = 2,923.62 × 1,222.40
  4. Step 4: Simplify right side
    2,118.54x = 3,573,833.09
  5. Step 5: Solve for x
    x = 3,573,833.09/2,118.54
  6. Step 6: Final answer
    x = 1,686.93

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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.