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Finding the Fourth Proportional to 2,702.66, 4,055.81 and 1,059

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Solution

The fourth proportional to 2,702.66, 4,055.81 and 1,059 is: 1,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.66 : 4,055.81 = 1,059 : x
  2. Step 2: Convert to fraction form
    2,702.66/4,055.81 = 1,059/x
  3. Step 3: Cross multiply
    2,702.66x = 4,055.81 × 1,059
  4. Step 4: Simplify right side
    2,702.66x = 4,295,097.50
  5. Step 5: Solve for x
    x = 4,295,097.50/2,702.66
  6. Step 6: Final answer
    x = 1,589.21

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Why These Related Problems?

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