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Finding the Fourth Proportional to 2,525.85, 3,485.69 and 1,406.79

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Solution

The fourth proportional to 2,525.85, 3,485.69 and 1,406.79 is: 1,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.85 : 3,485.69 = 1,406.79 : x
  2. Step 2: Convert to fraction form
    2,525.85/3,485.69 = 1,406.79/x
  3. Step 3: Cross multiply
    2,525.85x = 3,485.69 × 1,406.79
  4. Step 4: Simplify right side
    2,525.85x = 4,903,649.10
  5. Step 5: Solve for x
    x = 4,903,649.10/2,525.85
  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.