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Finding the Fourth Proportional to 1,588.96, 2,193.03 and 890.35

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Solution

The fourth proportional to 1,588.96, 2,193.03 and 890.35 is: 1,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.96 : 2,193.03 = 890.35 : x
  2. Step 2: Convert to fraction form
    1,588.96/2,193.03 = 890.35/x
  3. Step 3: Cross multiply
    1,588.96x = 2,193.03 × 890.35
  4. Step 4: Simplify right side
    1,588.96x = 1,952,564.26
  5. Step 5: Solve for x
    x = 1,952,564.26/1,588.96
  6. Step 6: Final answer
    x = 1,228.83

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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.