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Finding the Fourth Proportional to 2,213.07, 3,319.47 and 914.51

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Solution

The fourth proportional to 2,213.07, 3,319.47 and 914.51 is: 1,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.07 : 3,319.47 = 914.51 : x
  2. Step 2: Convert to fraction form
    2,213.07/3,319.47 = 914.51/x
  3. Step 3: Cross multiply
    2,213.07x = 3,319.47 × 914.51
  4. Step 4: Simplify right side
    2,213.07x = 3,035,671.91
  5. Step 5: Solve for x
    x = 3,035,671.91/2,213.07
  6. Step 6: Final answer
    x = 1,371.70

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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.