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Finding the Fourth Proportional to 3,007.77, 4,510.49 and 1,033.03

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Solution

The fourth proportional to 3,007.77, 4,510.49 and 1,033.03 is: 1,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.77 : 4,510.49 = 1,033.03 : x
  2. Step 2: Convert to fraction form
    3,007.77/4,510.49 = 1,033.03/x
  3. Step 3: Cross multiply
    3,007.77x = 4,510.49 × 1,033.03
  4. Step 4: Simplify right side
    3,007.77x = 4,659,448.93
  5. Step 5: Solve for x
    x = 4,659,448.93/3,007.77
  6. Step 6: Final answer
    x = 1,549.14

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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.