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Finding the Fourth Proportional to 1,586.71, 2,379.83 and 612.69

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Solution

The fourth proportional to 1,586.71, 2,379.83 and 612.69 is: 918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.71 : 2,379.83 = 612.69 : x
  2. Step 2: Convert to fraction form
    1,586.71/2,379.83 = 612.69/x
  3. Step 3: Cross multiply
    1,586.71x = 2,379.83 × 612.69
  4. Step 4: Simplify right side
    1,586.71x = 1,458,098.04
  5. Step 5: Solve for x
    x = 1,458,098.04/1,586.71
  6. Step 6: Final answer
    x = 918.94

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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.