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Finding the Fourth Proportional to 2,683.14, 3,702.97 and 1,564.44

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Solution

The fourth proportional to 2,683.14, 3,702.97 and 1,564.44 is: 2,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.14 : 3,702.97 = 1,564.44 : x
  2. Step 2: Convert to fraction form
    2,683.14/3,702.97 = 1,564.44/x
  3. Step 3: Cross multiply
    2,683.14x = 3,702.97 × 1,564.44
  4. Step 4: Simplify right side
    2,683.14x = 5,793,074.39
  5. Step 5: Solve for x
    x = 5,793,074.39/2,683.14
  6. Step 6: Final answer
    x = 2,159.07

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