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Finding the Fourth Proportional to 3,013.65, 4,520.07 and 822.51

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Solution

The fourth proportional to 3,013.65, 4,520.07 and 822.51 is: 1,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.65 : 4,520.07 = 822.51 : x
  2. Step 2: Convert to fraction form
    3,013.65/4,520.07 = 822.51/x
  3. Step 3: Cross multiply
    3,013.65x = 4,520.07 × 822.51
  4. Step 4: Simplify right side
    3,013.65x = 3,717,802.78
  5. Step 5: Solve for x
    x = 3,717,802.78/3,013.65
  6. Step 6: Final answer
    x = 1,233.65

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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.