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Finding the Fourth Proportional to 2,681.45, 3,702.12 and 2,185.28

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Solution

The fourth proportional to 2,681.45, 3,702.12 and 2,185.28 is: 3,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.45 : 3,702.12 = 2,185.28 : x
  2. Step 2: Convert to fraction form
    2,681.45/3,702.12 = 2,185.28/x
  3. Step 3: Cross multiply
    2,681.45x = 3,702.12 × 2,185.28
  4. Step 4: Simplify right side
    2,681.45x = 8,090,168.26
  5. Step 5: Solve for x
    x = 8,090,168.26/2,681.45
  6. Step 6: Final answer
    x = 3,017.08

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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.