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Finding the Fourth Proportional to 2,329.84, 3,495.96 and 2,164.60

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Solution

The fourth proportional to 2,329.84, 3,495.96 and 2,164.60 is: 3,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.84 : 3,495.96 = 2,164.60 : x
  2. Step 2: Convert to fraction form
    2,329.84/3,495.96 = 2,164.60/x
  3. Step 3: Cross multiply
    2,329.84x = 3,495.96 × 2,164.60
  4. Step 4: Simplify right side
    2,329.84x = 7,567,355.02
  5. Step 5: Solve for x
    x = 7,567,355.02/2,329.84
  6. Step 6: Final answer
    x = 3,248.01

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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.