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Finding the Fourth Proportional to 2,606.16, 3,597.72 and 1,976.80

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Solution

The fourth proportional to 2,606.16, 3,597.72 and 1,976.80 is: 2,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.16 : 3,597.72 = 1,976.80 : x
  2. Step 2: Convert to fraction form
    2,606.16/3,597.72 = 1,976.80/x
  3. Step 3: Cross multiply
    2,606.16x = 3,597.72 × 1,976.80
  4. Step 4: Simplify right side
    2,606.16x = 7,111,972.90
  5. Step 5: Solve for x
    x = 7,111,972.90/2,606.16
  6. Step 6: Final answer
    x = 2,728.91

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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.