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Finding the Fourth Proportional to 2,419.51, 3,628.59 and 859.30

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Solution

The fourth proportional to 2,419.51, 3,628.59 and 859.30 is: 1,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.51 : 3,628.59 = 859.30 : x
  2. Step 2: Convert to fraction form
    2,419.51/3,628.59 = 859.30/x
  3. Step 3: Cross multiply
    2,419.51x = 3,628.59 × 859.30
  4. Step 4: Simplify right side
    2,419.51x = 3,118,047.39
  5. Step 5: Solve for x
    x = 3,118,047.39/2,419.51
  6. Step 6: Final answer
    x = 1,288.71

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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.