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Finding the Fourth Proportional to 1,925.37, 2,884.41 and 1,619.19

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Solution

The fourth proportional to 1,925.37, 2,884.41 and 1,619.19 is: 2,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.37 : 2,884.41 = 1,619.19 : x
  2. Step 2: Convert to fraction form
    1,925.37/2,884.41 = 1,619.19/x
  3. Step 3: Cross multiply
    1,925.37x = 2,884.41 × 1,619.19
  4. Step 4: Simplify right side
    1,925.37x = 4,670,407.83
  5. Step 5: Solve for x
    x = 4,670,407.83/1,925.37
  6. Step 6: Final answer
    x = 2,425.72

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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.