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Finding the Fourth Proportional to 2,109.84, 3,165.72 and 955.28

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Solution

The fourth proportional to 2,109.84, 3,165.72 and 955.28 is: 1,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.84 : 3,165.72 = 955.28 : x
  2. Step 2: Convert to fraction form
    2,109.84/3,165.72 = 955.28/x
  3. Step 3: Cross multiply
    2,109.84x = 3,165.72 × 955.28
  4. Step 4: Simplify right side
    2,109.84x = 3,024,149.00
  5. Step 5: Solve for x
    x = 3,024,149.00/2,109.84
  6. Step 6: Final answer
    x = 1,433.35

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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.