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Finding the Fourth Proportional to 2,109.60, 3,164.37 and 955.35

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Solution

The fourth proportional to 2,109.60, 3,164.37 and 955.35 is: 1,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.60 : 3,164.37 = 955.35 : x
  2. Step 2: Convert to fraction form
    2,109.60/3,164.37 = 955.35/x
  3. Step 3: Cross multiply
    2,109.60x = 3,164.37 × 955.35
  4. Step 4: Simplify right side
    2,109.60x = 3,023,080.88
  5. Step 5: Solve for x
    x = 3,023,080.88/2,109.60
  6. Step 6: Final answer
    x = 1,433.01

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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.