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Finding the Fourth Proportional to 3,094.88, 4,271.20 and 1,697.90

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Solution

The fourth proportional to 3,094.88, 4,271.20 and 1,697.90 is: 2,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.88 : 4,271.20 = 1,697.90 : x
  2. Step 2: Convert to fraction form
    3,094.88/4,271.20 = 1,697.90/x
  3. Step 3: Cross multiply
    3,094.88x = 4,271.20 × 1,697.90
  4. Step 4: Simplify right side
    3,094.88x = 7,252,044.88
  5. Step 5: Solve for x
    x = 7,252,044.88/3,094.88
  6. Step 6: Final answer
    x = 2,343.24

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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.