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Finding the Fourth Proportional to 1,626.29, 2,439.15 and 586.08

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Solution

The fourth proportional to 1,626.29, 2,439.15 and 586.08 is: 879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.29 : 2,439.15 = 586.08 : x
  2. Step 2: Convert to fraction form
    1,626.29/2,439.15 = 586.08/x
  3. Step 3: Cross multiply
    1,626.29x = 2,439.15 × 586.08
  4. Step 4: Simplify right side
    1,626.29x = 1,429,537.03
  5. Step 5: Solve for x
    x = 1,429,537.03/1,626.29
  6. Step 6: Final answer
    x = 879.02

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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.