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Finding the Fourth Proportional to 2,178.60, 3,272.70 and 1,530.60

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Solution

The fourth proportional to 2,178.60, 3,272.70 and 1,530.60 is: 2,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.60 : 3,272.70 = 1,530.60 : x
  2. Step 2: Convert to fraction form
    2,178.60/3,272.70 = 1,530.60/x
  3. Step 3: Cross multiply
    2,178.60x = 3,272.70 × 1,530.60
  4. Step 4: Simplify right side
    2,178.60x = 5,009,194.62
  5. Step 5: Solve for x
    x = 5,009,194.62/2,178.60
  6. Step 6: Final answer
    x = 2,299.27

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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.