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Finding the Fourth Proportional to 2,611.61, 3,603.94 and 1,432.66

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Solution

The fourth proportional to 2,611.61, 3,603.94 and 1,432.66 is: 1,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.61 : 3,603.94 = 1,432.66 : x
  2. Step 2: Convert to fraction form
    2,611.61/3,603.94 = 1,432.66/x
  3. Step 3: Cross multiply
    2,611.61x = 3,603.94 × 1,432.66
  4. Step 4: Simplify right side
    2,611.61x = 5,163,220.68
  5. Step 5: Solve for x
    x = 5,163,220.68/2,611.61
  6. Step 6: Final answer
    x = 1,977.03

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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.