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Finding the Fourth Proportional to 1,988.83, 2,743.37 and 1,430.06

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Solution

The fourth proportional to 1,988.83, 2,743.37 and 1,430.06 is: 1,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.83 : 2,743.37 = 1,430.06 : x
  2. Step 2: Convert to fraction form
    1,988.83/2,743.37 = 1,430.06/x
  3. Step 3: Cross multiply
    1,988.83x = 2,743.37 × 1,430.06
  4. Step 4: Simplify right side
    1,988.83x = 3,923,183.70
  5. Step 5: Solve for x
    x = 3,923,183.70/1,988.83
  6. Step 6: Final answer
    x = 1,972.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.