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Finding the Fourth Proportional to 1,588.70, 2,189.40 and 1,145.82

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Solution

The fourth proportional to 1,588.70, 2,189.40 and 1,145.82 is: 1,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.70 : 2,189.40 = 1,145.82 : x
  2. Step 2: Convert to fraction form
    1,588.70/2,189.40 = 1,145.82/x
  3. Step 3: Cross multiply
    1,588.70x = 2,189.40 × 1,145.82
  4. Step 4: Simplify right side
    1,588.70x = 2,508,658.31
  5. Step 5: Solve for x
    x = 2,508,658.31/1,588.70
  6. Step 6: Final answer
    x = 1,579.06

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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.