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Finding the Fourth Proportional to 2,653.95, 3,686.45 and 2,611.57

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Solution

The fourth proportional to 2,653.95, 3,686.45 and 2,611.57 is: 3,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.95 : 3,686.45 = 2,611.57 : x
  2. Step 2: Convert to fraction form
    2,653.95/3,686.45 = 2,611.57/x
  3. Step 3: Cross multiply
    2,653.95x = 3,686.45 × 2,611.57
  4. Step 4: Simplify right side
    2,653.95x = 9,627,422.23
  5. Step 5: Solve for x
    x = 9,627,422.23/2,653.95
  6. Step 6: Final answer
    x = 3,627.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.