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Finding the Fourth Proportional to 2,602.95, 3,904.13 and 1,416.59

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Solution

The fourth proportional to 2,602.95, 3,904.13 and 1,416.59 is: 2,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.95 : 3,904.13 = 1,416.59 : x
  2. Step 2: Convert to fraction form
    2,602.95/3,904.13 = 1,416.59/x
  3. Step 3: Cross multiply
    2,602.95x = 3,904.13 × 1,416.59
  4. Step 4: Simplify right side
    2,602.95x = 5,530,544.43
  5. Step 5: Solve for x
    x = 5,530,544.43/2,602.95
  6. Step 6: Final answer
    x = 2,124.73

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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.