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Finding the Fourth Proportional to 1,588.03, 2,192.33 and 958.70

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Solution

The fourth proportional to 1,588.03, 2,192.33 and 958.70 is: 1,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.03 : 2,192.33 = 958.70 : x
  2. Step 2: Convert to fraction form
    1,588.03/2,192.33 = 958.70/x
  3. Step 3: Cross multiply
    1,588.03x = 2,192.33 × 958.70
  4. Step 4: Simplify right side
    1,588.03x = 2,101,794.65
  5. Step 5: Solve for x
    x = 2,101,794.65/1,588.03
  6. Step 6: Final answer
    x = 1,323.53

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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.