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Finding the Fourth Proportional to 2,949, 4,424.04 and 1,000.68

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Solution

The fourth proportional to 2,949, 4,424.04 and 1,000.68 is: 1,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949 : 4,424.04 = 1,000.68 : x
  2. Step 2: Convert to fraction form
    2,949/4,424.04 = 1,000.68/x
  3. Step 3: Cross multiply
    2,949x = 4,424.04 × 1,000.68
  4. Step 4: Simplify right side
    2,949x = 4,427,048.35
  5. Step 5: Solve for x
    x = 4,427,048.35/2,949
  6. Step 6: Final answer
    x = 1,501.20

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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.