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Finding the Fourth Proportional to 1,619.39, 2,429.40 and 579.47

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Solution

The fourth proportional to 1,619.39, 2,429.40 and 579.47 is: 869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.39 : 2,429.40 = 579.47 : x
  2. Step 2: Convert to fraction form
    1,619.39/2,429.40 = 579.47/x
  3. Step 3: Cross multiply
    1,619.39x = 2,429.40 × 579.47
  4. Step 4: Simplify right side
    1,619.39x = 1,407,764.42
  5. Step 5: Solve for x
    x = 1,407,764.42/1,619.39
  6. Step 6: Final answer
    x = 869.32

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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.