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Finding the Fourth Proportional to 2,739.94, 4,109.91 and 2,328.10

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Solution

The fourth proportional to 2,739.94, 4,109.91 and 2,328.10 is: 3,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.94 : 4,109.91 = 2,328.10 : x
  2. Step 2: Convert to fraction form
    2,739.94/4,109.91 = 2,328.10/x
  3. Step 3: Cross multiply
    2,739.94x = 4,109.91 × 2,328.10
  4. Step 4: Simplify right side
    2,739.94x = 9,568,281.47
  5. Step 5: Solve for x
    x = 9,568,281.47/2,739.94
  6. Step 6: Final answer
    x = 3,492.15

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Why These Related Problems?

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