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Finding the Fourth Proportional to 2,557.58, 3,833.33 and 995.72

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Solution

The fourth proportional to 2,557.58, 3,833.33 and 995.72 is: 1,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.58 : 3,833.33 = 995.72 : x
  2. Step 2: Convert to fraction form
    2,557.58/3,833.33 = 995.72/x
  3. Step 3: Cross multiply
    2,557.58x = 3,833.33 × 995.72
  4. Step 4: Simplify right side
    2,557.58x = 3,816,899.20
  5. Step 5: Solve for x
    x = 3,816,899.20/2,557.58
  6. Step 6: Final answer
    x = 1,492.39

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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.