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Finding the Fourth Proportional to 1,580.37, 2,369.80 and 484.44

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Solution

The fourth proportional to 1,580.37, 2,369.80 and 484.44 is: 726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.37 : 2,369.80 = 484.44 : x
  2. Step 2: Convert to fraction form
    1,580.37/2,369.80 = 484.44/x
  3. Step 3: Cross multiply
    1,580.37x = 2,369.80 × 484.44
  4. Step 4: Simplify right side
    1,580.37x = 1,148,025.91
  5. Step 5: Solve for x
    x = 1,148,025.91/1,580.37
  6. Step 6: Final answer
    x = 726.43

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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.