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Finding the Fourth Proportional to 1,884.42, 2,599.29 and 1,184.58

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Solution

The fourth proportional to 1,884.42, 2,599.29 and 1,184.58 is: 1,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.42 : 2,599.29 = 1,184.58 : x
  2. Step 2: Convert to fraction form
    1,884.42/2,599.29 = 1,184.58/x
  3. Step 3: Cross multiply
    1,884.42x = 2,599.29 × 1,184.58
  4. Step 4: Simplify right side
    1,884.42x = 3,079,066.95
  5. Step 5: Solve for x
    x = 3,079,066.95/1,884.42
  6. Step 6: Final answer
    x = 1,633.96

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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.