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Finding the Fourth Proportional to 1,738.32, 2,606.04 and 813.39

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Solution

The fourth proportional to 1,738.32, 2,606.04 and 813.39 is: 1,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.32 : 2,606.04 = 813.39 : x
  2. Step 2: Convert to fraction form
    1,738.32/2,606.04 = 813.39/x
  3. Step 3: Cross multiply
    1,738.32x = 2,606.04 × 813.39
  4. Step 4: Simplify right side
    1,738.32x = 2,119,726.88
  5. Step 5: Solve for x
    x = 2,119,726.88/1,738.32
  6. Step 6: Final answer
    x = 1,219.41

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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.