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Finding the Fourth Proportional to 1,515.60, 2,087.22 and 1,364.94

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Solution

The fourth proportional to 1,515.60, 2,087.22 and 1,364.94 is: 1,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.60 : 2,087.22 = 1,364.94 : x
  2. Step 2: Convert to fraction form
    1,515.60/2,087.22 = 1,364.94/x
  3. Step 3: Cross multiply
    1,515.60x = 2,087.22 × 1,364.94
  4. Step 4: Simplify right side
    1,515.60x = 2,848,930.07
  5. Step 5: Solve for x
    x = 2,848,930.07/1,515.60
  6. Step 6: Final answer
    x = 1,879.74

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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.