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Finding the Fourth Proportional to 2,245.75, 3,368.76 and 706.75

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Solution

The fourth proportional to 2,245.75, 3,368.76 and 706.75 is: 1,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.75 : 3,368.76 = 706.75 : x
  2. Step 2: Convert to fraction form
    2,245.75/3,368.76 = 706.75/x
  3. Step 3: Cross multiply
    2,245.75x = 3,368.76 × 706.75
  4. Step 4: Simplify right side
    2,245.75x = 2,380,871.13
  5. Step 5: Solve for x
    x = 2,380,871.13/2,245.75
  6. Step 6: Final answer
    x = 1,060.17

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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.