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Finding the Fourth Proportional to 2,606.72, 3,597.76 and 2,186.56

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Solution

The fourth proportional to 2,606.72, 3,597.76 and 2,186.56 is: 3,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.72 : 3,597.76 = 2,186.56 : x
  2. Step 2: Convert to fraction form
    2,606.72/3,597.76 = 2,186.56/x
  3. Step 3: Cross multiply
    2,606.72x = 3,597.76 × 2,186.56
  4. Step 4: Simplify right side
    2,606.72x = 7,866,718.11
  5. Step 5: Solve for x
    x = 7,866,718.11/2,606.72
  6. Step 6: Final answer
    x = 3,017.86

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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.