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Finding the Fourth Proportional to 1,585.36, 2,372.28 and 1,308.88

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Solution

The fourth proportional to 1,585.36, 2,372.28 and 1,308.88 is: 1,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.36 : 2,372.28 = 1,308.88 : x
  2. Step 2: Convert to fraction form
    1,585.36/2,372.28 = 1,308.88/x
  3. Step 3: Cross multiply
    1,585.36x = 2,372.28 × 1,308.88
  4. Step 4: Simplify right side
    1,585.36x = 3,105,029.85
  5. Step 5: Solve for x
    x = 3,105,029.85/1,585.36
  6. Step 6: Final answer
    x = 1,958.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.