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Finding the Fourth Proportional to 2,600.62, 3,894.08 and 1,558.15

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Solution

The fourth proportional to 2,600.62, 3,894.08 and 1,558.15 is: 2,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.62 : 3,894.08 = 1,558.15 : x
  2. Step 2: Convert to fraction form
    2,600.62/3,894.08 = 1,558.15/x
  3. Step 3: Cross multiply
    2,600.62x = 3,894.08 × 1,558.15
  4. Step 4: Simplify right side
    2,600.62x = 6,067,543.23
  5. Step 5: Solve for x
    x = 6,067,543.23/2,600.62
  6. Step 6: Final answer
    x = 2,333.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.