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Finding the Fourth Proportional to 1,585.79, 2,379.41 and 816.83

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Solution

The fourth proportional to 1,585.79, 2,379.41 and 816.83 is: 1,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.79 : 2,379.41 = 816.83 : x
  2. Step 2: Convert to fraction form
    1,585.79/2,379.41 = 816.83/x
  3. Step 3: Cross multiply
    1,585.79x = 2,379.41 × 816.83
  4. Step 4: Simplify right side
    1,585.79x = 1,943,573.47
  5. Step 5: Solve for x
    x = 1,943,573.47/1,585.79
  6. Step 6: Final answer
    x = 1,225.62

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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.