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Finding the Fourth Proportional to 2,419.74, 3,339.53 and 1,357.80

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Solution

The fourth proportional to 2,419.74, 3,339.53 and 1,357.80 is: 1,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.74 : 3,339.53 = 1,357.80 : x
  2. Step 2: Convert to fraction form
    2,419.74/3,339.53 = 1,357.80/x
  3. Step 3: Cross multiply
    2,419.74x = 3,339.53 × 1,357.80
  4. Step 4: Simplify right side
    2,419.74x = 4,534,413.83
  5. Step 5: Solve for x
    x = 4,534,413.83/2,419.74
  6. Step 6: Final answer
    x = 1,873.93

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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.