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Finding the Fourth Proportional to 2,328.74, 3,494.58 and 2,109.80

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Solution

The fourth proportional to 2,328.74, 3,494.58 and 2,109.80 is: 3,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.74 : 3,494.58 = 2,109.80 : x
  2. Step 2: Convert to fraction form
    2,328.74/3,494.58 = 2,109.80/x
  3. Step 3: Cross multiply
    2,328.74x = 3,494.58 × 2,109.80
  4. Step 4: Simplify right side
    2,328.74x = 7,372,864.88
  5. Step 5: Solve for x
    x = 7,372,864.88/2,328.74
  6. Step 6: Final answer
    x = 3,166.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.