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Finding the Fourth Proportional to 2,057.40, 2,835 and 1,741.68

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Solution

The fourth proportional to 2,057.40, 2,835 and 1,741.68 is: 2,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.40 : 2,835 = 1,741.68 : x
  2. Step 2: Convert to fraction form
    2,057.40/2,835 = 1,741.68/x
  3. Step 3: Cross multiply
    2,057.40x = 2,835 × 1,741.68
  4. Step 4: Simplify right side
    2,057.40x = 4,937,662.80
  5. Step 5: Solve for x
    x = 4,937,662.80/2,057.40
  6. Step 6: Final answer
    x = 2,399.95

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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.