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Finding the Fourth Proportional to 2,994.39, 4,492.25 and 914.58

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Solution

The fourth proportional to 2,994.39, 4,492.25 and 914.58 is: 1,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.39 : 4,492.25 = 914.58 : x
  2. Step 2: Convert to fraction form
    2,994.39/4,492.25 = 914.58/x
  3. Step 3: Cross multiply
    2,994.39x = 4,492.25 × 914.58
  4. Step 4: Simplify right side
    2,994.39x = 4,108,522.01
  5. Step 5: Solve for x
    x = 4,108,522.01/2,994.39
  6. Step 6: Final answer
    x = 1,372.07

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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.