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Finding the Fourth Proportional to 1,921.86, 2,884.75 and 1,703.84

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Solution

The fourth proportional to 1,921.86, 2,884.75 and 1,703.84 is: 2,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.86 : 2,884.75 = 1,703.84 : x
  2. Step 2: Convert to fraction form
    1,921.86/2,884.75 = 1,703.84/x
  3. Step 3: Cross multiply
    1,921.86x = 2,884.75 × 1,703.84
  4. Step 4: Simplify right side
    1,921.86x = 4,915,133.76
  5. Step 5: Solve for x
    x = 4,915,133.76/1,921.86
  6. Step 6: Final answer
    x = 2,557.49

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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.