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Finding the Fourth Proportional to 1,593.43, 2,391.05 and 619.63

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Solution

The fourth proportional to 1,593.43, 2,391.05 and 619.63 is: 929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.43 : 2,391.05 = 619.63 : x
  2. Step 2: Convert to fraction form
    1,593.43/2,391.05 = 619.63/x
  3. Step 3: Cross multiply
    1,593.43x = 2,391.05 × 619.63
  4. Step 4: Simplify right side
    1,593.43x = 1,481,566.31
  5. Step 5: Solve for x
    x = 1,481,566.31/1,593.43
  6. Step 6: Final answer
    x = 929.80

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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.