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Finding the Fourth Proportional to 2,525.76, 3,788.28 and 794.34

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Solution

The fourth proportional to 2,525.76, 3,788.28 and 794.34 is: 1,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.76 : 3,788.28 = 794.34 : x
  2. Step 2: Convert to fraction form
    2,525.76/3,788.28 = 794.34/x
  3. Step 3: Cross multiply
    2,525.76x = 3,788.28 × 794.34
  4. Step 4: Simplify right side
    2,525.76x = 3,009,182.34
  5. Step 5: Solve for x
    x = 3,009,182.34/2,525.76
  6. Step 6: Final answer
    x = 1,191.40

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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.