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Finding the Fourth Proportional to 2,635.93, 3,952.14 and 904.15

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Solution

The fourth proportional to 2,635.93, 3,952.14 and 904.15 is: 1,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.93 : 3,952.14 = 904.15 : x
  2. Step 2: Convert to fraction form
    2,635.93/3,952.14 = 904.15/x
  3. Step 3: Cross multiply
    2,635.93x = 3,952.14 × 904.15
  4. Step 4: Simplify right side
    2,635.93x = 3,573,327.38
  5. Step 5: Solve for x
    x = 3,573,327.38/2,635.93
  6. Step 6: Final answer
    x = 1,355.62

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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.