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Finding the Fourth Proportional to 2,525.06, 3,788.40 and 965.00

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Solution

The fourth proportional to 2,525.06, 3,788.40 and 965.00 is: 1,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.06 : 3,788.40 = 965.00 : x
  2. Step 2: Convert to fraction form
    2,525.06/3,788.40 = 965.00/x
  3. Step 3: Cross multiply
    2,525.06x = 3,788.40 × 965.00
  4. Step 4: Simplify right side
    2,525.06x = 3,655,787.06
  5. Step 5: Solve for x
    x = 3,655,787.06/2,525.06
  6. Step 6: Final answer
    x = 1,447.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.