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Finding the Fourth Proportional to 2,611.60, 3,603.93 and 1,432.63

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Solution

The fourth proportional to 2,611.60, 3,603.93 and 1,432.63 is: 1,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.60 : 3,603.93 = 1,432.63 : x
  2. Step 2: Convert to fraction form
    2,611.60/3,603.93 = 1,432.63/x
  3. Step 3: Cross multiply
    2,611.60x = 3,603.93 × 1,432.63
  4. Step 4: Simplify right side
    2,611.60x = 5,163,098.24
  5. Step 5: Solve for x
    x = 5,163,098.24/2,611.60
  6. Step 6: Final answer
    x = 1,976.99

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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.