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Finding the Fourth Proportional to 1,433.55, 2,147.02 and 1,384.30

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Solution

The fourth proportional to 1,433.55, 2,147.02 and 1,384.30 is: 2,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.55 : 2,147.02 = 1,384.30 : x
  2. Step 2: Convert to fraction form
    1,433.55/2,147.02 = 1,384.30/x
  3. Step 3: Cross multiply
    1,433.55x = 2,147.02 × 1,384.30
  4. Step 4: Simplify right side
    1,433.55x = 2,972,119.79
  5. Step 5: Solve for x
    x = 2,972,119.79/1,433.55
  6. Step 6: Final answer
    x = 2,073.26

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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.