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Finding the Fourth Proportional to 1,928.64, 2,665.90 and 1,775.55

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Solution

The fourth proportional to 1,928.64, 2,665.90 and 1,775.55 is: 2,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.64 : 2,665.90 = 1,775.55 : x
  2. Step 2: Convert to fraction form
    1,928.64/2,665.90 = 1,775.55/x
  3. Step 3: Cross multiply
    1,928.64x = 2,665.90 × 1,775.55
  4. Step 4: Simplify right side
    1,928.64x = 4,733,429.87
  5. Step 5: Solve for x
    x = 4,733,429.87/1,928.64
  6. Step 6: Final answer
    x = 2,454.28

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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.