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Finding the Fourth Proportional to 2,684.16, 3,702.91 and 1,564.44

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Solution

The fourth proportional to 2,684.16, 3,702.91 and 1,564.44 is: 2,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.16 : 3,702.91 = 1,564.44 : x
  2. Step 2: Convert to fraction form
    2,684.16/3,702.91 = 1,564.44/x
  3. Step 3: Cross multiply
    2,684.16x = 3,702.91 × 1,564.44
  4. Step 4: Simplify right side
    2,684.16x = 5,792,980.52
  5. Step 5: Solve for x
    x = 5,792,980.52/2,684.16
  6. Step 6: Final answer
    x = 2,158.21

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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.