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Finding the Fourth Proportional to 2,525.97, 3,485.76 and 1,406.86

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Solution

The fourth proportional to 2,525.97, 3,485.76 and 1,406.86 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.97 : 3,485.76 = 1,406.86 : x
  2. Step 2: Convert to fraction form
    2,525.97/3,485.76 = 1,406.86/x
  3. Step 3: Cross multiply
    2,525.97x = 3,485.76 × 1,406.86
  4. Step 4: Simplify right side
    2,525.97x = 4,903,976.31
  5. Step 5: Solve for x
    x = 4,903,976.31/2,525.97
  6. Step 6: Final answer
    x = 1,941.42

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