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Finding the Fourth Proportional to 3,007.46, 4,510.64 and 816.36

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Solution

The fourth proportional to 3,007.46, 4,510.64 and 816.36 is: 1,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.46 : 4,510.64 = 816.36 : x
  2. Step 2: Convert to fraction form
    3,007.46/4,510.64 = 816.36/x
  3. Step 3: Cross multiply
    3,007.46x = 4,510.64 × 816.36
  4. Step 4: Simplify right side
    3,007.46x = 3,682,306.07
  5. Step 5: Solve for x
    x = 3,682,306.07/3,007.46
  6. Step 6: Final answer
    x = 1,224.39

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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.