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Finding the Fourth Proportional to 2,684.06, 3,702.47 and 2,153.54

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Solution

The fourth proportional to 2,684.06, 3,702.47 and 2,153.54 is: 2,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.06 : 3,702.47 = 2,153.54 : x
  2. Step 2: Convert to fraction form
    2,684.06/3,702.47 = 2,153.54/x
  3. Step 3: Cross multiply
    2,684.06x = 3,702.47 × 2,153.54
  4. Step 4: Simplify right side
    2,684.06x = 7,973,387.96
  5. Step 5: Solve for x
    x = 7,973,387.96/2,684.06
  6. Step 6: Final answer
    x = 2,970.65

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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.