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Finding the Fourth Proportional to 2,698.72, 4,048.08 and 968.56

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Solution

The fourth proportional to 2,698.72, 4,048.08 and 968.56 is: 1,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.72 : 4,048.08 = 968.56 : x
  2. Step 2: Convert to fraction form
    2,698.72/4,048.08 = 968.56/x
  3. Step 3: Cross multiply
    2,698.72x = 4,048.08 × 968.56
  4. Step 4: Simplify right side
    2,698.72x = 3,920,808.36
  5. Step 5: Solve for x
    x = 3,920,808.36/2,698.72
  6. Step 6: Final answer
    x = 1,452.84

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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.