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Finding the Fourth Proportional to 2,462.06, 3,397.72 and 1,343.06

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Solution

The fourth proportional to 2,462.06, 3,397.72 and 1,343.06 is: 1,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.06 : 3,397.72 = 1,343.06 : x
  2. Step 2: Convert to fraction form
    2,462.06/3,397.72 = 1,343.06/x
  3. Step 3: Cross multiply
    2,462.06x = 3,397.72 × 1,343.06
  4. Step 4: Simplify right side
    2,462.06x = 4,563,341.82
  5. Step 5: Solve for x
    x = 4,563,341.82/2,462.06
  6. Step 6: Final answer
    x = 1,853.46

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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.