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Finding the Fourth Proportional to 3,322.46, 4,585.12 and 1,830.44

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Solution

The fourth proportional to 3,322.46, 4,585.12 and 1,830.44 is: 2,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.46 : 4,585.12 = 1,830.44 : x
  2. Step 2: Convert to fraction form
    3,322.46/4,585.12 = 1,830.44/x
  3. Step 3: Cross multiply
    3,322.46x = 4,585.12 × 1,830.44
  4. Step 4: Simplify right side
    3,322.46x = 8,392,787.05
  5. Step 5: Solve for x
    x = 8,392,787.05/3,322.46
  6. Step 6: Final answer
    x = 2,526.08

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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.