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Finding the Fourth Proportional to 2,525.98, 3,485.64 and 1,406.83

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Solution

The fourth proportional to 2,525.98, 3,485.64 and 1,406.83 is: 1,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.98 : 3,485.64 = 1,406.83 : x
  2. Step 2: Convert to fraction form
    2,525.98/3,485.64 = 1,406.83/x
  3. Step 3: Cross multiply
    2,525.98x = 3,485.64 × 1,406.83
  4. Step 4: Simplify right side
    2,525.98x = 4,903,702.92
  5. Step 5: Solve for x
    x = 4,903,702.92/2,525.98
  6. Step 6: Final answer
    x = 1,941.31

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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.