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Finding the Fourth Proportional to 2,405.44, 3,312.54 and 1,741.24

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Solution

The fourth proportional to 2,405.44, 3,312.54 and 1,741.24 is: 2,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.44 : 3,312.54 = 1,741.24 : x
  2. Step 2: Convert to fraction form
    2,405.44/3,312.54 = 1,741.24/x
  3. Step 3: Cross multiply
    2,405.44x = 3,312.54 × 1,741.24
  4. Step 4: Simplify right side
    2,405.44x = 5,767,927.15
  5. Step 5: Solve for x
    x = 5,767,927.15/2,405.44
  6. Step 6: Final answer
    x = 2,397.87

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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.