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Finding the Fourth Proportional to 2,681.90, 3,702.75 and 2,336.30

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Solution

The fourth proportional to 2,681.90, 3,702.75 and 2,336.30 is: 3,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.90 : 3,702.75 = 2,336.30 : x
  2. Step 2: Convert to fraction form
    2,681.90/3,702.75 = 2,336.30/x
  3. Step 3: Cross multiply
    2,681.90x = 3,702.75 × 2,336.30
  4. Step 4: Simplify right side
    2,681.90x = 8,650,734.83
  5. Step 5: Solve for x
    x = 8,650,734.83/2,681.90
  6. Step 6: Final answer
    x = 3,225.60

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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.