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Finding the Fourth Proportional to 1,430.00, 2,143.23 and 844.41

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Solution

The fourth proportional to 1,430.00, 2,143.23 and 844.41 is: 1,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.00 : 2,143.23 = 844.41 : x
  2. Step 2: Convert to fraction form
    1,430.00/2,143.23 = 844.41/x
  3. Step 3: Cross multiply
    1,430.00x = 2,143.23 × 844.41
  4. Step 4: Simplify right side
    1,430.00x = 1,809,764.84
  5. Step 5: Solve for x
    x = 1,809,764.84/1,430.00
  6. Step 6: Final answer
    x = 1,265.57

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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.