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Finding the Fourth Proportional to 1,619.86, 2,429.82 and 465.64

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Solution

The fourth proportional to 1,619.86, 2,429.82 and 465.64 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.86 : 2,429.82 = 465.64 : x
  2. Step 2: Convert to fraction form
    1,619.86/2,429.82 = 465.64/x
  3. Step 3: Cross multiply
    1,619.86x = 2,429.82 × 465.64
  4. Step 4: Simplify right side
    1,619.86x = 1,131,421.38
  5. Step 5: Solve for x
    x = 1,131,421.38/1,619.86
  6. Step 6: Final answer
    x = 698.47

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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.