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Finding the Fourth Proportional to 2,683.13, 3,702.71 and 1,635.39

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Solution

The fourth proportional to 2,683.13, 3,702.71 and 1,635.39 is: 2,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.13 : 3,702.71 = 1,635.39 : x
  2. Step 2: Convert to fraction form
    2,683.13/3,702.71 = 1,635.39/x
  3. Step 3: Cross multiply
    2,683.13x = 3,702.71 × 1,635.39
  4. Step 4: Simplify right side
    2,683.13x = 6,055,379.00
  5. Step 5: Solve for x
    x = 6,055,379.00/2,683.13
  6. Step 6: Final answer
    x = 2,256.84

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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.