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Finding the Fourth Proportional to 1,684.32, 2,527.56 and 1,107.60

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Solution

The fourth proportional to 1,684.32, 2,527.56 and 1,107.60 is: 1,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.32 : 2,527.56 = 1,107.60 : x
  2. Step 2: Convert to fraction form
    1,684.32/2,527.56 = 1,107.60/x
  3. Step 3: Cross multiply
    1,684.32x = 2,527.56 × 1,107.60
  4. Step 4: Simplify right side
    1,684.32x = 2,799,525.46
  5. Step 5: Solve for x
    x = 2,799,525.46/1,684.32
  6. Step 6: Final answer
    x = 1,662.11

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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.