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Finding the Fourth Proportional to 1,751.22, 2,415.69 and 1,352.70

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Solution

The fourth proportional to 1,751.22, 2,415.69 and 1,352.70 is: 1,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.22 : 2,415.69 = 1,352.70 : x
  2. Step 2: Convert to fraction form
    1,751.22/2,415.69 = 1,352.70/x
  3. Step 3: Cross multiply
    1,751.22x = 2,415.69 × 1,352.70
  4. Step 4: Simplify right side
    1,751.22x = 3,267,703.86
  5. Step 5: Solve for x
    x = 3,267,703.86/1,751.22
  6. Step 6: Final answer
    x = 1,865.96

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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.