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Finding the Fourth Proportional to 2,530.54, 3,793.95 and 1,706.77

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Solution

The fourth proportional to 2,530.54, 3,793.95 and 1,706.77 is: 2,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.54 : 3,793.95 = 1,706.77 : x
  2. Step 2: Convert to fraction form
    2,530.54/3,793.95 = 1,706.77/x
  3. Step 3: Cross multiply
    2,530.54x = 3,793.95 × 1,706.77
  4. Step 4: Simplify right side
    2,530.54x = 6,475,400.04
  5. Step 5: Solve for x
    x = 6,475,400.04/2,530.54
  6. Step 6: Final answer
    x = 2,558.90

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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.