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Finding the Fourth Proportional to 3,007.09, 4,510.38 and 815.77

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Solution

The fourth proportional to 3,007.09, 4,510.38 and 815.77 is: 1,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.09 : 4,510.38 = 815.77 : x
  2. Step 2: Convert to fraction form
    3,007.09/4,510.38 = 815.77/x
  3. Step 3: Cross multiply
    3,007.09x = 4,510.38 × 815.77
  4. Step 4: Simplify right side
    3,007.09x = 3,679,441.39
  5. Step 5: Solve for x
    x = 3,679,441.39/3,007.09
  6. Step 6: Final answer
    x = 1,223.59

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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.