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Finding the Fourth Proportional to 1,826.61, 2,739.66 and 594.04

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Solution

The fourth proportional to 1,826.61, 2,739.66 and 594.04 is: 890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.61 : 2,739.66 = 594.04 : x
  2. Step 2: Convert to fraction form
    1,826.61/2,739.66 = 594.04/x
  3. Step 3: Cross multiply
    1,826.61x = 2,739.66 × 594.04
  4. Step 4: Simplify right side
    1,826.61x = 1,627,458.55
  5. Step 5: Solve for x
    x = 1,627,458.55/1,826.61
  6. Step 6: Final answer
    x = 890.97

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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.