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Finding the Fourth Proportional to 2,089.58, 3,133.42 and 995.27

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Solution

The fourth proportional to 2,089.58, 3,133.42 and 995.27 is: 1,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.58 : 3,133.42 = 995.27 : x
  2. Step 2: Convert to fraction form
    2,089.58/3,133.42 = 995.27/x
  3. Step 3: Cross multiply
    2,089.58x = 3,133.42 × 995.27
  4. Step 4: Simplify right side
    2,089.58x = 3,118,598.92
  5. Step 5: Solve for x
    x = 3,118,598.92/2,089.58
  6. Step 6: Final answer
    x = 1,492.45

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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.