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Finding the Fourth Proportional to 2,588.93, 3,883.46 and 945.98

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Solution

The fourth proportional to 2,588.93, 3,883.46 and 945.98 is: 1,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.93 : 3,883.46 = 945.98 : x
  2. Step 2: Convert to fraction form
    2,588.93/3,883.46 = 945.98/x
  3. Step 3: Cross multiply
    2,588.93x = 3,883.46 × 945.98
  4. Step 4: Simplify right side
    2,588.93x = 3,673,651.34
  5. Step 5: Solve for x
    x = 3,673,651.34/2,588.93
  6. Step 6: Final answer
    x = 1,418.99

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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.