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Finding the Fourth Proportional to 2,165.75, 2,987.20 and 2,133.35

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Solution

The fourth proportional to 2,165.75, 2,987.20 and 2,133.35 is: 2,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.75 : 2,987.20 = 2,133.35 : x
  2. Step 2: Convert to fraction form
    2,165.75/2,987.20 = 2,133.35/x
  3. Step 3: Cross multiply
    2,165.75x = 2,987.20 × 2,133.35
  4. Step 4: Simplify right side
    2,165.75x = 6,372,752.19
  5. Step 5: Solve for x
    x = 6,372,752.19/2,165.75
  6. Step 6: Final answer
    x = 2,942.51

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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.