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Finding the Fourth Proportional to 2,702.61, 4,049.46 and 1,605.60

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Solution

The fourth proportional to 2,702.61, 4,049.46 and 1,605.60 is: 2,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.61 : 4,049.46 = 1,605.60 : x
  2. Step 2: Convert to fraction form
    2,702.61/4,049.46 = 1,605.60/x
  3. Step 3: Cross multiply
    2,702.61x = 4,049.46 × 1,605.60
  4. Step 4: Simplify right side
    2,702.61x = 6,501,812.98
  5. Step 5: Solve for x
    x = 6,501,812.98/2,702.61
  6. Step 6: Final answer
    x = 2,405.75

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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.