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Finding the Fourth Proportional to 3,033.63, 4,546.26 and 1,569.78

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Solution

The fourth proportional to 3,033.63, 4,546.26 and 1,569.78 is: 2,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.63 : 4,546.26 = 1,569.78 : x
  2. Step 2: Convert to fraction form
    3,033.63/4,546.26 = 1,569.78/x
  3. Step 3: Cross multiply
    3,033.63x = 4,546.26 × 1,569.78
  4. Step 4: Simplify right side
    3,033.63x = 7,136,628.02
  5. Step 5: Solve for x
    x = 7,136,628.02/3,033.63
  6. Step 6: Final answer
    x = 2,352.50

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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.