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Finding the Fourth Proportional to 1,579.48, 2,370.42 and 605.86

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Solution

The fourth proportional to 1,579.48, 2,370.42 and 605.86 is: 909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.48 : 2,370.42 = 605.86 : x
  2. Step 2: Convert to fraction form
    1,579.48/2,370.42 = 605.86/x
  3. Step 3: Cross multiply
    1,579.48x = 2,370.42 × 605.86
  4. Step 4: Simplify right side
    1,579.48x = 1,436,142.66
  5. Step 5: Solve for x
    x = 1,436,142.66/1,579.48
  6. Step 6: Final answer
    x = 909.25

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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.