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Finding the Fourth Proportional to 2,702.66, 3,730.05 and 1,959.08

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Solution

The fourth proportional to 2,702.66, 3,730.05 and 1,959.08 is: 2,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.66 : 3,730.05 = 1,959.08 : x
  2. Step 2: Convert to fraction form
    2,702.66/3,730.05 = 1,959.08/x
  3. Step 3: Cross multiply
    2,702.66x = 3,730.05 × 1,959.08
  4. Step 4: Simplify right side
    2,702.66x = 7,307,447.70
  5. Step 5: Solve for x
    x = 7,307,447.70/2,702.66
  6. Step 6: Final answer
    x = 2,703.80

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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.