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Finding the Fourth Proportional to 2,685.36, 3,702.96 and 2,124.94

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Solution

The fourth proportional to 2,685.36, 3,702.96 and 2,124.94 is: 2,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.36 : 3,702.96 = 2,124.94 : x
  2. Step 2: Convert to fraction form
    2,685.36/3,702.96 = 2,124.94/x
  3. Step 3: Cross multiply
    2,685.36x = 3,702.96 × 2,124.94
  4. Step 4: Simplify right side
    2,685.36x = 7,868,567.82
  5. Step 5: Solve for x
    x = 7,868,567.82/2,685.36
  6. Step 6: Final answer
    x = 2,930.17

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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.