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Finding the Fourth Proportional to 2,532.35, 3,789.26 and 1,492.82

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Solution

The fourth proportional to 2,532.35, 3,789.26 and 1,492.82 is: 2,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.35 : 3,789.26 = 1,492.82 : x
  2. Step 2: Convert to fraction form
    2,532.35/3,789.26 = 1,492.82/x
  3. Step 3: Cross multiply
    2,532.35x = 3,789.26 × 1,492.82
  4. Step 4: Simplify right side
    2,532.35x = 5,656,683.11
  5. Step 5: Solve for x
    x = 5,656,683.11/2,532.35
  6. Step 6: Final answer
    x = 2,233.77

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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.