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Finding the Fourth Proportional to 2,994.57, 4,492.56 and 942.57

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Solution

The fourth proportional to 2,994.57, 4,492.56 and 942.57 is: 1,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.57 : 4,492.56 = 942.57 : x
  2. Step 2: Convert to fraction form
    2,994.57/4,492.56 = 942.57/x
  3. Step 3: Cross multiply
    2,994.57x = 4,492.56 × 942.57
  4. Step 4: Simplify right side
    2,994.57x = 4,234,552.28
  5. Step 5: Solve for x
    x = 4,234,552.28/2,994.57
  6. Step 6: Final answer
    x = 1,414.08

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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.