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Finding the Fourth Proportional to 2,994.98, 4,492.49 and 1,047.19

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Solution

The fourth proportional to 2,994.98, 4,492.49 and 1,047.19 is: 1,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.98 : 4,492.49 = 1,047.19 : x
  2. Step 2: Convert to fraction form
    2,994.98/4,492.49 = 1,047.19/x
  3. Step 3: Cross multiply
    2,994.98x = 4,492.49 × 1,047.19
  4. Step 4: Simplify right side
    2,994.98x = 4,704,490.60
  5. Step 5: Solve for x
    x = 4,704,490.60/2,994.98
  6. Step 6: Final answer
    x = 1,570.79

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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.