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Finding the Fourth Proportional to 2,923.68, 4,383.84 and 1,885.32

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Solution

The fourth proportional to 2,923.68, 4,383.84 and 1,885.32 is: 2,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.68 : 4,383.84 = 1,885.32 : x
  2. Step 2: Convert to fraction form
    2,923.68/4,383.84 = 1,885.32/x
  3. Step 3: Cross multiply
    2,923.68x = 4,383.84 × 1,885.32
  4. Step 4: Simplify right side
    2,923.68x = 8,264,941.23
  5. Step 5: Solve for x
    x = 8,264,941.23/2,923.68
  6. Step 6: Final answer
    x = 2,826.90

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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.