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Finding the Fourth Proportional to 1,416.59, 1,955.41 and 1,216.61

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Solution

The fourth proportional to 1,416.59, 1,955.41 and 1,216.61 is: 1,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.59 : 1,955.41 = 1,216.61 : x
  2. Step 2: Convert to fraction form
    1,416.59/1,955.41 = 1,216.61/x
  3. Step 3: Cross multiply
    1,416.59x = 1,955.41 × 1,216.61
  4. Step 4: Simplify right side
    1,416.59x = 2,378,965.87
  5. Step 5: Solve for x
    x = 2,378,965.87/1,416.59
  6. Step 6: Final answer
    x = 1,679.36

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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.