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Finding the Fourth Proportional to 2,994.86, 4,492.61 and 1,147.56

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Solution

The fourth proportional to 2,994.86, 4,492.61 and 1,147.56 is: 1,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.86 : 4,492.61 = 1,147.56 : x
  2. Step 2: Convert to fraction form
    2,994.86/4,492.61 = 1,147.56/x
  3. Step 3: Cross multiply
    2,994.86x = 4,492.61 × 1,147.56
  4. Step 4: Simplify right side
    2,994.86x = 5,155,539.53
  5. Step 5: Solve for x
    x = 5,155,539.53/2,994.86
  6. Step 6: Final answer
    x = 1,721.46

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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.