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Finding the Fourth Proportional to 2,605.96, 3,596.34 and 1,558

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Solution

The fourth proportional to 2,605.96, 3,596.34 and 1,558 is: 2,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.96 : 3,596.34 = 1,558 : x
  2. Step 2: Convert to fraction form
    2,605.96/3,596.34 = 1,558/x
  3. Step 3: Cross multiply
    2,605.96x = 3,596.34 × 1,558
  4. Step 4: Simplify right side
    2,605.96x = 5,603,097.72
  5. Step 5: Solve for x
    x = 5,603,097.72/2,605.96
  6. Step 6: Final answer
    x = 2,150.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.