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Finding the Fourth Proportional to 2,642.96, 3,647.94 and 1,595.72

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Solution

The fourth proportional to 2,642.96, 3,647.94 and 1,595.72 is: 2,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.96 : 3,647.94 = 1,595.72 : x
  2. Step 2: Convert to fraction form
    2,642.96/3,647.94 = 1,595.72/x
  3. Step 3: Cross multiply
    2,642.96x = 3,647.94 × 1,595.72
  4. Step 4: Simplify right side
    2,642.96x = 5,821,090.82
  5. Step 5: Solve for x
    x = 5,821,090.82/2,642.96
  6. Step 6: Final answer
    x = 2,202.49

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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.