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Finding the Fourth Proportional to 2,164.39, 3,246.76 and 848.25

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Solution

The fourth proportional to 2,164.39, 3,246.76 and 848.25 is: 1,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.39 : 3,246.76 = 848.25 : x
  2. Step 2: Convert to fraction form
    2,164.39/3,246.76 = 848.25/x
  3. Step 3: Cross multiply
    2,164.39x = 3,246.76 × 848.25
  4. Step 4: Simplify right side
    2,164.39x = 2,754,071.27
  5. Step 5: Solve for x
    x = 2,754,071.27/2,164.39
  6. Step 6: Final answer
    x = 1,272.45

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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.