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Finding the Fourth Proportional to 2,611.42, 3,603.72 and 1,432.46

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Solution

The fourth proportional to 2,611.42, 3,603.72 and 1,432.46 is: 1,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.42 : 3,603.72 = 1,432.46 : x
  2. Step 2: Convert to fraction form
    2,611.42/3,603.72 = 1,432.46/x
  3. Step 3: Cross multiply
    2,611.42x = 3,603.72 × 1,432.46
  4. Step 4: Simplify right side
    2,611.42x = 5,162,184.75
  5. Step 5: Solve for x
    x = 5,162,184.75/2,611.42
  6. Step 6: Final answer
    x = 1,976.77

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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.