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Finding the Fourth Proportional to 1,430.33, 2,145.49 and 939.83

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Solution

The fourth proportional to 1,430.33, 2,145.49 and 939.83 is: 1,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.33 : 2,145.49 = 939.83 : x
  2. Step 2: Convert to fraction form
    1,430.33/2,145.49 = 939.83/x
  3. Step 3: Cross multiply
    1,430.33x = 2,145.49 × 939.83
  4. Step 4: Simplify right side
    1,430.33x = 2,016,391.17
  5. Step 5: Solve for x
    x = 2,016,391.17/1,430.33
  6. Step 6: Final answer
    x = 1,409.74

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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.