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Finding the Fourth Proportional to 1,775.34, 2,659.37 and 1,384.92

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Solution

The fourth proportional to 1,775.34, 2,659.37 and 1,384.92 is: 2,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.34 : 2,659.37 = 1,384.92 : x
  2. Step 2: Convert to fraction form
    1,775.34/2,659.37 = 1,384.92/x
  3. Step 3: Cross multiply
    1,775.34x = 2,659.37 × 1,384.92
  4. Step 4: Simplify right side
    1,775.34x = 3,683,007.78
  5. Step 5: Solve for x
    x = 3,683,007.78/1,775.34
  6. Step 6: Final answer
    x = 2,074.54

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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.