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Finding the Fourth Proportional to 1,626.58, 2,245.09 and 1,460.51

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Solution

The fourth proportional to 1,626.58, 2,245.09 and 1,460.51 is: 2,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.58 : 2,245.09 = 1,460.51 : x
  2. Step 2: Convert to fraction form
    1,626.58/2,245.09 = 1,460.51/x
  3. Step 3: Cross multiply
    1,626.58x = 2,245.09 × 1,460.51
  4. Step 4: Simplify right side
    1,626.58x = 3,278,970.47
  5. Step 5: Solve for x
    x = 3,278,970.47/1,626.58
  6. Step 6: Final answer
    x = 2,015.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.