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Finding the Fourth Proportional to 2,303.86, 3,179.37 and 1,419.61

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Solution

The fourth proportional to 2,303.86, 3,179.37 and 1,419.61 is: 1,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.86 : 3,179.37 = 1,419.61 : x
  2. Step 2: Convert to fraction form
    2,303.86/3,179.37 = 1,419.61/x
  3. Step 3: Cross multiply
    2,303.86x = 3,179.37 × 1,419.61
  4. Step 4: Simplify right side
    2,303.86x = 4,513,465.45
  5. Step 5: Solve for x
    x = 4,513,465.45/2,303.86
  6. Step 6: Final answer
    x = 1,959.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.