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Finding the Fourth Proportional to 3,175.80, 4,760.95 and 1,533.50

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Solution

The fourth proportional to 3,175.80, 4,760.95 and 1,533.50 is: 2,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.80 : 4,760.95 = 1,533.50 : x
  2. Step 2: Convert to fraction form
    3,175.80/4,760.95 = 1,533.50/x
  3. Step 3: Cross multiply
    3,175.80x = 4,760.95 × 1,533.50
  4. Step 4: Simplify right side
    3,175.80x = 7,300,916.83
  5. Step 5: Solve for x
    x = 7,300,916.83/3,175.80
  6. Step 6: Final answer
    x = 2,298.92

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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.