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Finding the Fourth Proportional to 1,588.13, 2,190.93 and 958.30

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Solution

The fourth proportional to 1,588.13, 2,190.93 and 958.30 is: 1,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.13 : 2,190.93 = 958.30 : x
  2. Step 2: Convert to fraction form
    1,588.13/2,190.93 = 958.30/x
  3. Step 3: Cross multiply
    1,588.13x = 2,190.93 × 958.30
  4. Step 4: Simplify right side
    1,588.13x = 2,099,563.43
  5. Step 5: Solve for x
    x = 2,099,563.43/1,588.13
  6. Step 6: Final answer
    x = 1,322.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.