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Finding the Fourth Proportional to 2,525.59, 3,486.98 and 1,642.89

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Solution

The fourth proportional to 2,525.59, 3,486.98 and 1,642.89 is: 2,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.59 : 3,486.98 = 1,642.89 : x
  2. Step 2: Convert to fraction form
    2,525.59/3,486.98 = 1,642.89/x
  3. Step 3: Cross multiply
    2,525.59x = 3,486.98 × 1,642.89
  4. Step 4: Simplify right side
    2,525.59x = 5,728,728.68
  5. Step 5: Solve for x
    x = 5,728,728.68/2,525.59
  6. Step 6: Final answer
    x = 2,268.28

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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.