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Finding the Fourth Proportional to 1,610.25, 2,415.47 and 456.09

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Solution

The fourth proportional to 1,610.25, 2,415.47 and 456.09 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.25 : 2,415.47 = 456.09 : x
  2. Step 2: Convert to fraction form
    1,610.25/2,415.47 = 456.09/x
  3. Step 3: Cross multiply
    1,610.25x = 2,415.47 × 456.09
  4. Step 4: Simplify right side
    1,610.25x = 1,101,669.43
  5. Step 5: Solve for x
    x = 1,101,669.43/1,610.25
  6. Step 6: Final answer
    x = 684.16

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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.