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Finding the Fourth Proportional to 1,646.36, 2,467.62 and 914.84

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Solution

The fourth proportional to 1,646.36, 2,467.62 and 914.84 is: 1,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.36 : 2,467.62 = 914.84 : x
  2. Step 2: Convert to fraction form
    1,646.36/2,467.62 = 914.84/x
  3. Step 3: Cross multiply
    1,646.36x = 2,467.62 × 914.84
  4. Step 4: Simplify right side
    1,646.36x = 2,257,477.48
  5. Step 5: Solve for x
    x = 2,257,477.48/1,646.36
  6. Step 6: Final answer
    x = 1,371.19

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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.