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Finding the Fourth Proportional to 1,556.35, 2,335.21 and 825.75

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Solution

The fourth proportional to 1,556.35, 2,335.21 and 825.75 is: 1,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.35 : 2,335.21 = 825.75 : x
  2. Step 2: Convert to fraction form
    1,556.35/2,335.21 = 825.75/x
  3. Step 3: Cross multiply
    1,556.35x = 2,335.21 × 825.75
  4. Step 4: Simplify right side
    1,556.35x = 1,928,302.24
  5. Step 5: Solve for x
    x = 1,928,302.24/1,556.35
  6. Step 6: Final answer
    x = 1,238.99

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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.