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Finding the Fourth Proportional to 2,635.95, 3,642.42 and 2,507.82

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Solution

The fourth proportional to 2,635.95, 3,642.42 and 2,507.82 is: 3,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.95 : 3,642.42 = 2,507.82 : x
  2. Step 2: Convert to fraction form
    2,635.95/3,642.42 = 2,507.82/x
  3. Step 3: Cross multiply
    2,635.95x = 3,642.42 × 2,507.82
  4. Step 4: Simplify right side
    2,635.95x = 9,134,533.72
  5. Step 5: Solve for x
    x = 9,134,533.72/2,635.95
  6. Step 6: Final answer
    x = 3,465.37

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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.