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Finding the Fourth Proportional to 2,700.24, 4,051.18 and 968.46

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Solution

The fourth proportional to 2,700.24, 4,051.18 and 968.46 is: 1,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.24 : 4,051.18 = 968.46 : x
  2. Step 2: Convert to fraction form
    2,700.24/4,051.18 = 968.46/x
  3. Step 3: Cross multiply
    2,700.24x = 4,051.18 × 968.46
  4. Step 4: Simplify right side
    2,700.24x = 3,923,405.78
  5. Step 5: Solve for x
    x = 3,923,405.78/2,700.24
  6. Step 6: Final answer
    x = 1,452.98

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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.