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Finding the Fourth Proportional to 2,525.78, 3,485.54 and 1,406.80

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Solution

The fourth proportional to 2,525.78, 3,485.54 and 1,406.80 is: 1,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.78 : 3,485.54 = 1,406.80 : x
  2. Step 2: Convert to fraction form
    2,525.78/3,485.54 = 1,406.80/x
  3. Step 3: Cross multiply
    2,525.78x = 3,485.54 × 1,406.80
  4. Step 4: Simplify right side
    2,525.78x = 4,903,457.67
  5. Step 5: Solve for x
    x = 4,903,457.67/2,525.78
  6. Step 6: Final answer
    x = 1,941.36

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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.