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Finding the Fourth Proportional to 2,611.02, 3,603.23 and 1,416.03

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Solution

The fourth proportional to 2,611.02, 3,603.23 and 1,416.03 is: 1,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.02 : 3,603.23 = 1,416.03 : x
  2. Step 2: Convert to fraction form
    2,611.02/3,603.23 = 1,416.03/x
  3. Step 3: Cross multiply
    2,611.02x = 3,603.23 × 1,416.03
  4. Step 4: Simplify right side
    2,611.02x = 5,102,274.70
  5. Step 5: Solve for x
    x = 5,102,274.70/2,611.02
  6. Step 6: Final answer
    x = 1,954.13

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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.