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Finding the Fourth Proportional to 1,476.81, 2,199.11 and 1,424.30

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Solution

The fourth proportional to 1,476.81, 2,199.11 and 1,424.30 is: 2,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.81 : 2,199.11 = 1,424.30 : x
  2. Step 2: Convert to fraction form
    1,476.81/2,199.11 = 1,424.30/x
  3. Step 3: Cross multiply
    1,476.81x = 2,199.11 × 1,424.30
  4. Step 4: Simplify right side
    1,476.81x = 3,132,174.26
  5. Step 5: Solve for x
    x = 3,132,174.26/1,476.81
  6. Step 6: Final answer
    x = 2,120.91

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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.