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Finding the Fourth Proportional to 2,697.63, 4,047.72 and 1,543.38

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Solution

The fourth proportional to 2,697.63, 4,047.72 and 1,543.38 is: 2,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.63 : 4,047.72 = 1,543.38 : x
  2. Step 2: Convert to fraction form
    2,697.63/4,047.72 = 1,543.38/x
  3. Step 3: Cross multiply
    2,697.63x = 4,047.72 × 1,543.38
  4. Step 4: Simplify right side
    2,697.63x = 6,247,170.09
  5. Step 5: Solve for x
    x = 6,247,170.09/2,697.63
  6. Step 6: Final answer
    x = 2,315.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.