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Finding the Fourth Proportional to 2,264.37, 3,397.05 and 704.35

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Solution

The fourth proportional to 2,264.37, 3,397.05 and 704.35 is: 1,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.37 : 3,397.05 = 704.35 : x
  2. Step 2: Convert to fraction form
    2,264.37/3,397.05 = 704.35/x
  3. Step 3: Cross multiply
    2,264.37x = 3,397.05 × 704.35
  4. Step 4: Simplify right side
    2,264.37x = 2,392,691.66
  5. Step 5: Solve for x
    x = 2,392,691.66/2,264.37
  6. Step 6: Final answer
    x = 1,056.67

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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.