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Finding the Fourth Proportional to 1,751.88, 2,415.32 and 1,435.98

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Solution

The fourth proportional to 1,751.88, 2,415.32 and 1,435.98 is: 1,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.88 : 2,415.32 = 1,435.98 : x
  2. Step 2: Convert to fraction form
    1,751.88/2,415.32 = 1,435.98/x
  3. Step 3: Cross multiply
    1,751.88x = 2,415.32 × 1,435.98
  4. Step 4: Simplify right side
    1,751.88x = 3,468,351.21
  5. Step 5: Solve for x
    x = 3,468,351.21/1,751.88
  6. Step 6: Final answer
    x = 1,979.79

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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.