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Finding the Fourth Proportional to 3,322.60, 4,585.13 and 1,830.65

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Solution

The fourth proportional to 3,322.60, 4,585.13 and 1,830.65 is: 2,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.60 : 4,585.13 = 1,830.65 : x
  2. Step 2: Convert to fraction form
    3,322.60/4,585.13 = 1,830.65/x
  3. Step 3: Cross multiply
    3,322.60x = 4,585.13 × 1,830.65
  4. Step 4: Simplify right side
    3,322.60x = 8,393,770.54
  5. Step 5: Solve for x
    x = 8,393,770.54/3,322.60
  6. Step 6: Final answer
    x = 2,526.27

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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.