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Finding the Fourth Proportional to 2,951.54, 4,416.22 and 1,806.40

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Solution

The fourth proportional to 2,951.54, 4,416.22 and 1,806.40 is: 2,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.54 : 4,416.22 = 1,806.40 : x
  2. Step 2: Convert to fraction form
    2,951.54/4,416.22 = 1,806.40/x
  3. Step 3: Cross multiply
    2,951.54x = 4,416.22 × 1,806.40
  4. Step 4: Simplify right side
    2,951.54x = 7,977,467.59
  5. Step 5: Solve for x
    x = 7,977,467.59/2,951.54
  6. Step 6: Final answer
    x = 2,702.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.