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Finding the Fourth Proportional to 2,296.35, 3,440.07 and 1,776.06

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Solution

The fourth proportional to 2,296.35, 3,440.07 and 1,776.06 is: 2,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.35 : 3,440.07 = 1,776.06 : x
  2. Step 2: Convert to fraction form
    2,296.35/3,440.07 = 1,776.06/x
  3. Step 3: Cross multiply
    2,296.35x = 3,440.07 × 1,776.06
  4. Step 4: Simplify right side
    2,296.35x = 6,109,770.72
  5. Step 5: Solve for x
    x = 6,109,770.72/2,296.35
  6. Step 6: Final answer
    x = 2,660.64

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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.