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Finding the Fourth Proportional to 1,928.70, 2,665.98 and 1,775.61

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Solution

The fourth proportional to 1,928.70, 2,665.98 and 1,775.61 is: 2,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.70 : 2,665.98 = 1,775.61 : x
  2. Step 2: Convert to fraction form
    1,928.70/2,665.98 = 1,775.61/x
  3. Step 3: Cross multiply
    1,928.70x = 2,665.98 × 1,775.61
  4. Step 4: Simplify right side
    1,928.70x = 4,733,740.75
  5. Step 5: Solve for x
    x = 4,733,740.75/1,928.70
  6. Step 6: Final answer
    x = 2,454.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.