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Finding the Fourth Proportional to 1,588.66, 2,192.34 and 890.03

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Solution

The fourth proportional to 1,588.66, 2,192.34 and 890.03 is: 1,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.66 : 2,192.34 = 890.03 : x
  2. Step 2: Convert to fraction form
    1,588.66/2,192.34 = 890.03/x
  3. Step 3: Cross multiply
    1,588.66x = 2,192.34 × 890.03
  4. Step 4: Simplify right side
    1,588.66x = 1,951,248.37
  5. Step 5: Solve for x
    x = 1,951,248.37/1,588.66
  6. Step 6: Final answer
    x = 1,228.24

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Why These Related Problems?

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