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Finding the Fourth Proportional to 2,996.42, 4,494.22 and 1,148.00

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Solution

The fourth proportional to 2,996.42, 4,494.22 and 1,148.00 is: 1,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.42 : 4,494.22 = 1,148.00 : x
  2. Step 2: Convert to fraction form
    2,996.42/4,494.22 = 1,148.00/x
  3. Step 3: Cross multiply
    2,996.42x = 4,494.22 × 1,148.00
  4. Step 4: Simplify right side
    2,996.42x = 5,159,372.93
  5. Step 5: Solve for x
    x = 5,159,372.93/2,996.42
  6. Step 6: Final answer
    x = 1,721.84

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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.