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Finding the Fourth Proportional to 2,004.64, 2,994.76 and 1,676.56

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Solution

The fourth proportional to 2,004.64, 2,994.76 and 1,676.56 is: 2,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.64 : 2,994.76 = 1,676.56 : x
  2. Step 2: Convert to fraction form
    2,004.64/2,994.76 = 1,676.56/x
  3. Step 3: Cross multiply
    2,004.64x = 2,994.76 × 1,676.56
  4. Step 4: Simplify right side
    2,004.64x = 5,020,894.83
  5. Step 5: Solve for x
    x = 5,020,894.83/2,004.64
  6. Step 6: Final answer
    x = 2,504.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.