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Finding the Fourth Proportional to 2,994.63, 4,133.12 and 2,285.31

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Solution

The fourth proportional to 2,994.63, 4,133.12 and 2,285.31 is: 3,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.63 : 4,133.12 = 2,285.31 : x
  2. Step 2: Convert to fraction form
    2,994.63/4,133.12 = 2,285.31/x
  3. Step 3: Cross multiply
    2,994.63x = 4,133.12 × 2,285.31
  4. Step 4: Simplify right side
    2,994.63x = 9,445,449.04
  5. Step 5: Solve for x
    x = 9,445,449.04/2,994.63
  6. Step 6: Final answer
    x = 3,154.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.