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Finding the Fourth Proportional to 1,352.80, 1,865.06 and 1,015.27

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Solution

The fourth proportional to 1,352.80, 1,865.06 and 1,015.27 is: 1,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.80 : 1,865.06 = 1,015.27 : x
  2. Step 2: Convert to fraction form
    1,352.80/1,865.06 = 1,015.27/x
  3. Step 3: Cross multiply
    1,352.80x = 1,865.06 × 1,015.27
  4. Step 4: Simplify right side
    1,352.80x = 1,893,539.47
  5. Step 5: Solve for x
    x = 1,893,539.47/1,352.80
  6. Step 6: Final answer
    x = 1,399.72

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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.