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Finding the Fourth Proportional to 1,884.36, 2,596.14 and 1,651.08

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Solution

The fourth proportional to 1,884.36, 2,596.14 and 1,651.08 is: 2,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.36 : 2,596.14 = 1,651.08 : x
  2. Step 2: Convert to fraction form
    1,884.36/2,596.14 = 1,651.08/x
  3. Step 3: Cross multiply
    1,884.36x = 2,596.14 × 1,651.08
  4. Step 4: Simplify right side
    1,884.36x = 4,286,434.83
  5. Step 5: Solve for x
    x = 4,286,434.83/1,884.36
  6. Step 6: Final answer
    x = 2,274.74

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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.