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Finding the Fourth Proportional to 2,405.85, 3,319.93 and 1,357.84

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Solution

The fourth proportional to 2,405.85, 3,319.93 and 1,357.84 is: 1,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.85 : 3,319.93 = 1,357.84 : x
  2. Step 2: Convert to fraction form
    2,405.85/3,319.93 = 1,357.84/x
  3. Step 3: Cross multiply
    2,405.85x = 3,319.93 × 1,357.84
  4. Step 4: Simplify right side
    2,405.85x = 4,507,933.75
  5. Step 5: Solve for x
    x = 4,507,933.75/2,405.85
  6. Step 6: Final answer
    x = 1,873.74

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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.