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Finding the Fourth Proportional to 2,702.02, 4,053.04 and 2,086.62

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Solution

The fourth proportional to 2,702.02, 4,053.04 and 2,086.62 is: 3,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.02 : 4,053.04 = 2,086.62 : x
  2. Step 2: Convert to fraction form
    2,702.02/4,053.04 = 2,086.62/x
  3. Step 3: Cross multiply
    2,702.02x = 4,053.04 × 2,086.62
  4. Step 4: Simplify right side
    2,702.02x = 8,457,154.32
  5. Step 5: Solve for x
    x = 8,457,154.32/2,702.02
  6. Step 6: Final answer
    x = 3,129.94

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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.