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Finding the Fourth Proportional to 1,433.70, 1,991.79 and 1,420.20

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Solution

The fourth proportional to 1,433.70, 1,991.79 and 1,420.20 is: 1,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.70 : 1,991.79 = 1,420.20 : x
  2. Step 2: Convert to fraction form
    1,433.70/1,991.79 = 1,420.20/x
  3. Step 3: Cross multiply
    1,433.70x = 1,991.79 × 1,420.20
  4. Step 4: Simplify right side
    1,433.70x = 2,828,740.16
  5. Step 5: Solve for x
    x = 2,828,740.16/1,433.70
  6. Step 6: Final answer
    x = 1,973.03

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.