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Finding the Fourth Proportional to 2,117.93, 2,922.90 and 1,233.66

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Solution

The fourth proportional to 2,117.93, 2,922.90 and 1,233.66 is: 1,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.93 : 2,922.90 = 1,233.66 : x
  2. Step 2: Convert to fraction form
    2,117.93/2,922.90 = 1,233.66/x
  3. Step 3: Cross multiply
    2,117.93x = 2,922.90 × 1,233.66
  4. Step 4: Simplify right side
    2,117.93x = 3,605,864.81
  5. Step 5: Solve for x
    x = 3,605,864.81/2,117.93
  6. Step 6: Final answer
    x = 1,702.55

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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.