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Finding the Fourth Proportional to 1,964.39, 2,708.33 and 1,609.00

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Solution

The fourth proportional to 1,964.39, 2,708.33 and 1,609.00 is: 2,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.39 : 2,708.33 = 1,609.00 : x
  2. Step 2: Convert to fraction form
    1,964.39/2,708.33 = 1,609.00/x
  3. Step 3: Cross multiply
    1,964.39x = 2,708.33 × 1,609.00
  4. Step 4: Simplify right side
    1,964.39x = 4,357,688.15
  5. Step 5: Solve for x
    x = 4,357,688.15/1,964.39
  6. Step 6: Final answer
    x = 2,218.35

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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.