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Finding the Fourth Proportional to 2,702.85, 3,730.23 and 1,583.70

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Solution

The fourth proportional to 2,702.85, 3,730.23 and 1,583.70 is: 2,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.85 : 3,730.23 = 1,583.70 : x
  2. Step 2: Convert to fraction form
    2,702.85/3,730.23 = 1,583.70/x
  3. Step 3: Cross multiply
    2,702.85x = 3,730.23 × 1,583.70
  4. Step 4: Simplify right side
    2,702.85x = 5,907,565.25
  5. Step 5: Solve for x
    x = 5,907,565.25/2,702.85
  6. Step 6: Final answer
    x = 2,185.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.