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Finding the Fourth Proportional to 1,852.46, 2,775.44 and 1,559.64

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Solution

The fourth proportional to 1,852.46, 2,775.44 and 1,559.64 is: 2,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.46 : 2,775.44 = 1,559.64 : x
  2. Step 2: Convert to fraction form
    1,852.46/2,775.44 = 1,559.64/x
  3. Step 3: Cross multiply
    1,852.46x = 2,775.44 × 1,559.64
  4. Step 4: Simplify right side
    1,852.46x = 4,328,687.24
  5. Step 5: Solve for x
    x = 4,328,687.24/1,852.46
  6. Step 6: Final answer
    x = 2,336.72

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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.