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Finding the Fourth Proportional to 2,104.48, 3,152.87 and 1,775.55

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Solution

The fourth proportional to 2,104.48, 3,152.87 and 1,775.55 is: 2,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.48 : 3,152.87 = 1,775.55 : x
  2. Step 2: Convert to fraction form
    2,104.48/3,152.87 = 1,775.55/x
  3. Step 3: Cross multiply
    2,104.48x = 3,152.87 × 1,775.55
  4. Step 4: Simplify right side
    2,104.48x = 5,598,069.45
  5. Step 5: Solve for x
    x = 5,598,069.45/2,104.48
  6. Step 6: Final answer
    x = 2,660.08

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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.