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Finding the Fourth Proportional to 2,117.61, 2,922.21 and 1,233.45

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Solution

The fourth proportional to 2,117.61, 2,922.21 and 1,233.45 is: 1,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.61 : 2,922.21 = 1,233.45 : x
  2. Step 2: Convert to fraction form
    2,117.61/2,922.21 = 1,233.45/x
  3. Step 3: Cross multiply
    2,117.61x = 2,922.21 × 1,233.45
  4. Step 4: Simplify right side
    2,117.61x = 3,604,399.92
  5. Step 5: Solve for x
    x = 3,604,399.92/2,117.61
  6. Step 6: Final answer
    x = 1,702.11

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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.