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Finding the Fourth Proportional to 2,474.93, 3,415.97 and 1,543.25

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Solution

The fourth proportional to 2,474.93, 3,415.97 and 1,543.25 is: 2,130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.93 : 3,415.97 = 1,543.25 : x
  2. Step 2: Convert to fraction form
    2,474.93/3,415.97 = 1,543.25/x
  3. Step 3: Cross multiply
    2,474.93x = 3,415.97 × 1,543.25
  4. Step 4: Simplify right side
    2,474.93x = 5,271,695.70
  5. Step 5: Solve for x
    x = 5,271,695.70/2,474.93
  6. Step 6: Final answer
    x = 2,130.04

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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.