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Finding the Fourth Proportional to 2,525.81, 3,485.77 and 1,406.93

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Solution

The fourth proportional to 2,525.81, 3,485.77 and 1,406.93 is: 1,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.81 : 3,485.77 = 1,406.93 : x
  2. Step 2: Convert to fraction form
    2,525.81/3,485.77 = 1,406.93/x
  3. Step 3: Cross multiply
    2,525.81x = 3,485.77 × 1,406.93
  4. Step 4: Simplify right side
    2,525.81x = 4,904,213.44
  5. Step 5: Solve for x
    x = 4,904,213.44/2,525.81
  6. Step 6: Final answer
    x = 1,941.64

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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.