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Finding the Fourth Proportional to 3,322.42, 4,585.04 and 1,830.43

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Solution

The fourth proportional to 3,322.42, 4,585.04 and 1,830.43 is: 2,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.42 : 4,585.04 = 1,830.43 : x
  2. Step 2: Convert to fraction form
    3,322.42/4,585.04 = 1,830.43/x
  3. Step 3: Cross multiply
    3,322.42x = 4,585.04 × 1,830.43
  4. Step 4: Simplify right side
    3,322.42x = 8,392,598.21
  5. Step 5: Solve for x
    x = 8,392,598.21/3,322.42
  6. Step 6: Final answer
    x = 2,526.05

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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.