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Finding the Fourth Proportional to 2,531.61, 3,492.16 and 1,522.62

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Solution

The fourth proportional to 2,531.61, 3,492.16 and 1,522.62 is: 2,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.61 : 3,492.16 = 1,522.62 : x
  2. Step 2: Convert to fraction form
    2,531.61/3,492.16 = 1,522.62/x
  3. Step 3: Cross multiply
    2,531.61x = 3,492.16 × 1,522.62
  4. Step 4: Simplify right side
    2,531.61x = 5,317,228.85
  5. Step 5: Solve for x
    x = 5,317,228.85/2,531.61
  6. Step 6: Final answer
    x = 2,100.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.