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Finding the Fourth Proportional to 2,430.66, 3,352.55 and 1,684.65

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Solution

The fourth proportional to 2,430.66, 3,352.55 and 1,684.65 is: 2,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.66 : 3,352.55 = 1,684.65 : x
  2. Step 2: Convert to fraction form
    2,430.66/3,352.55 = 1,684.65/x
  3. Step 3: Cross multiply
    2,430.66x = 3,352.55 × 1,684.65
  4. Step 4: Simplify right side
    2,430.66x = 5,647,864.93
  5. Step 5: Solve for x
    x = 5,647,864.93/2,430.66
  6. Step 6: Final answer
    x = 2,323.59

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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.