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Finding the Fourth Proportional to 2,529.60, 3,784.50 and 1,665.60

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Solution

The fourth proportional to 2,529.60, 3,784.50 and 1,665.60 is: 2,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.60 : 3,784.50 = 1,665.60 : x
  2. Step 2: Convert to fraction form
    2,529.60/3,784.50 = 1,665.60/x
  3. Step 3: Cross multiply
    2,529.60x = 3,784.50 × 1,665.60
  4. Step 4: Simplify right side
    2,529.60x = 6,303,463.20
  5. Step 5: Solve for x
    x = 6,303,463.20/2,529.60
  6. Step 6: Final answer
    x = 2,491.88

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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.