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Finding the Fourth Proportional to 2,606.83, 3,597.74 and 1,558.87

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Solution

The fourth proportional to 2,606.83, 3,597.74 and 1,558.87 is: 2,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.83 : 3,597.74 = 1,558.87 : x
  2. Step 2: Convert to fraction form
    2,606.83/3,597.74 = 1,558.87/x
  3. Step 3: Cross multiply
    2,606.83x = 3,597.74 × 1,558.87
  4. Step 4: Simplify right side
    2,606.83x = 5,608,401.16
  5. Step 5: Solve for x
    x = 5,608,401.16/2,606.83
  6. Step 6: Final answer
    x = 2,151.43

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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.