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Finding the Fourth Proportional to 1,589.40, 2,372.58 and 1,395

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Solution

The fourth proportional to 1,589.40, 2,372.58 and 1,395 is: 2,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.40 : 2,372.58 = 1,395 : x
  2. Step 2: Convert to fraction form
    1,589.40/2,372.58 = 1,395/x
  3. Step 3: Cross multiply
    1,589.40x = 2,372.58 × 1,395
  4. Step 4: Simplify right side
    1,589.40x = 3,309,749.10
  5. Step 5: Solve for x
    x = 3,309,749.10/1,589.40
  6. Step 6: Final answer
    x = 2,082.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.