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Finding the Fourth Proportional to 1,284.20, 1,924.62 and 995.84

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Solution

The fourth proportional to 1,284.20, 1,924.62 and 995.84 is: 1,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.20 : 1,924.62 = 995.84 : x
  2. Step 2: Convert to fraction form
    1,284.20/1,924.62 = 995.84/x
  3. Step 3: Cross multiply
    1,284.20x = 1,924.62 × 995.84
  4. Step 4: Simplify right side
    1,284.20x = 1,916,613.58
  5. Step 5: Solve for x
    x = 1,916,613.58/1,284.20
  6. Step 6: Final answer
    x = 1,492.46

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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.