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Finding the Fourth Proportional to 2,867.10, 4,301.40 and 919.35

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Solution

The fourth proportional to 2,867.10, 4,301.40 and 919.35 is: 1,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.10 : 4,301.40 = 919.35 : x
  2. Step 2: Convert to fraction form
    2,867.10/4,301.40 = 919.35/x
  3. Step 3: Cross multiply
    2,867.10x = 4,301.40 × 919.35
  4. Step 4: Simplify right side
    2,867.10x = 3,954,492.09
  5. Step 5: Solve for x
    x = 3,954,492.09/2,867.10
  6. Step 6: Final answer
    x = 1,379.27

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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.