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Finding the Fourth Proportional to 1,925.22, 2,884.39 and 1,274.39

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Solution

The fourth proportional to 1,925.22, 2,884.39 and 1,274.39 is: 1,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.22 : 2,884.39 = 1,274.39 : x
  2. Step 2: Convert to fraction form
    1,925.22/2,884.39 = 1,274.39/x
  3. Step 3: Cross multiply
    1,925.22x = 2,884.39 × 1,274.39
  4. Step 4: Simplify right side
    1,925.22x = 3,675,820.16
  5. Step 5: Solve for x
    x = 3,675,820.16/1,925.22
  6. Step 6: Final answer
    x = 1,909.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.