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Finding the Fourth Proportional to 2,294.51, 3,441.74 and 651.05

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Solution

The fourth proportional to 2,294.51, 3,441.74 and 651.05 is: 976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.51 : 3,441.74 = 651.05 : x
  2. Step 2: Convert to fraction form
    2,294.51/3,441.74 = 651.05/x
  3. Step 3: Cross multiply
    2,294.51x = 3,441.74 × 651.05
  4. Step 4: Simplify right side
    2,294.51x = 2,240,755.06
  5. Step 5: Solve for x
    x = 2,240,755.06/2,294.51
  6. Step 6: Final answer
    x = 976.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.