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Finding the Fourth Proportional to 2,994.50, 4,492.06 and 1,147.16

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Solution

The fourth proportional to 2,994.50, 4,492.06 and 1,147.16 is: 1,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.50 : 4,492.06 = 1,147.16 : x
  2. Step 2: Convert to fraction form
    2,994.50/4,492.06 = 1,147.16/x
  3. Step 3: Cross multiply
    2,994.50x = 4,492.06 × 1,147.16
  4. Step 4: Simplify right side
    2,994.50x = 5,153,119.91
  5. Step 5: Solve for x
    x = 5,153,119.91/2,994.50
  6. Step 6: Final answer
    x = 1,720.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.