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Finding the Fourth Proportional to 2,033.61, 3,050.04 and 572.46

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Solution

The fourth proportional to 2,033.61, 3,050.04 and 572.46 is: 858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.61 : 3,050.04 = 572.46 : x
  2. Step 2: Convert to fraction form
    2,033.61/3,050.04 = 572.46/x
  3. Step 3: Cross multiply
    2,033.61x = 3,050.04 × 572.46
  4. Step 4: Simplify right side
    2,033.61x = 1,746,025.90
  5. Step 5: Solve for x
    x = 1,746,025.90/2,033.61
  6. Step 6: Final answer
    x = 858.58

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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.