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Finding the Fourth Proportional to 2,653.60, 3,656.82 and 2,611.12

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Solution

The fourth proportional to 2,653.60, 3,656.82 and 2,611.12 is: 3,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.60 : 3,656.82 = 2,611.12 : x
  2. Step 2: Convert to fraction form
    2,653.60/3,656.82 = 2,611.12/x
  3. Step 3: Cross multiply
    2,653.60x = 3,656.82 × 2,611.12
  4. Step 4: Simplify right side
    2,653.60x = 9,548,395.84
  5. Step 5: Solve for x
    x = 9,548,395.84/2,653.60
  6. Step 6: Final answer
    x = 3,598.28

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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.