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Finding the Fourth Proportional to 3,174.81, 4,763.18 and 1,421.28

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Solution

The fourth proportional to 3,174.81, 4,763.18 and 1,421.28 is: 2,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.81 : 4,763.18 = 1,421.28 : x
  2. Step 2: Convert to fraction form
    3,174.81/4,763.18 = 1,421.28/x
  3. Step 3: Cross multiply
    3,174.81x = 4,763.18 × 1,421.28
  4. Step 4: Simplify right side
    3,174.81x = 6,769,812.47
  5. Step 5: Solve for x
    x = 6,769,812.47/3,174.81
  6. Step 6: Final answer
    x = 2,132.35

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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.