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Finding the Fourth Proportional to 2,994.80, 4,492.20 and 2,577.20

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Solution

The fourth proportional to 2,994.80, 4,492.20 and 2,577.20 is: 3,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.80 : 4,492.20 = 2,577.20 : x
  2. Step 2: Convert to fraction form
    2,994.80/4,492.20 = 2,577.20/x
  3. Step 3: Cross multiply
    2,994.80x = 4,492.20 × 2,577.20
  4. Step 4: Simplify right side
    2,994.80x = 11,577,297.84
  5. Step 5: Solve for x
    x = 11,577,297.84/2,994.80
  6. Step 6: Final answer
    x = 3,865.80

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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.