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Finding the Fourth Proportional to 2,525.92, 3,485.67 and 1,406.83

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Solution

The fourth proportional to 2,525.92, 3,485.67 and 1,406.83 is: 1,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.92 : 3,485.67 = 1,406.83 : x
  2. Step 2: Convert to fraction form
    2,525.92/3,485.67 = 1,406.83/x
  3. Step 3: Cross multiply
    2,525.92x = 3,485.67 × 1,406.83
  4. Step 4: Simplify right side
    2,525.92x = 4,903,758.47
  5. Step 5: Solve for x
    x = 4,903,758.47/2,525.92
  6. Step 6: Final answer
    x = 1,941.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.