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Finding the Fourth Proportional to 1,593.70, 2,391.42 and 619.84

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Solution

The fourth proportional to 1,593.70, 2,391.42 and 619.84 is: 930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.70 : 2,391.42 = 619.84 : x
  2. Step 2: Convert to fraction form
    1,593.70/2,391.42 = 619.84/x
  3. Step 3: Cross multiply
    1,593.70x = 2,391.42 × 619.84
  4. Step 4: Simplify right side
    1,593.70x = 1,482,297.77
  5. Step 5: Solve for x
    x = 1,482,297.77/1,593.70
  6. Step 6: Final answer
    x = 930.10

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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.