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Finding the Fourth Proportional to 2,994.25, 4,492.26 and 1,534.43

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Solution

The fourth proportional to 2,994.25, 4,492.26 and 1,534.43 is: 2,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.25 : 4,492.26 = 1,534.43 : x
  2. Step 2: Convert to fraction form
    2,994.25/4,492.26 = 1,534.43/x
  3. Step 3: Cross multiply
    2,994.25x = 4,492.26 × 1,534.43
  4. Step 4: Simplify right side
    2,994.25x = 6,893,036.05
  5. Step 5: Solve for x
    x = 6,893,036.05/2,994.25
  6. Step 6: Final answer
    x = 2,302.09

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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.