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Finding the Fourth Proportional to 2,686.35, 3,699.50 and 2,418.51

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Solution

The fourth proportional to 2,686.35, 3,699.50 and 2,418.51 is: 3,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.35 : 3,699.50 = 2,418.51 : x
  2. Step 2: Convert to fraction form
    2,686.35/3,699.50 = 2,418.51/x
  3. Step 3: Cross multiply
    2,686.35x = 3,699.50 × 2,418.51
  4. Step 4: Simplify right side
    2,686.35x = 8,947,265.65
  5. Step 5: Solve for x
    x = 8,947,265.65/2,686.35
  6. Step 6: Final answer
    x = 3,330.64

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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.