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Finding the Fourth Proportional to 1,892.34, 2,611.56 and 1,106.64

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Solution

The fourth proportional to 1,892.34, 2,611.56 and 1,106.64 is: 1,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.34 : 2,611.56 = 1,106.64 : x
  2. Step 2: Convert to fraction form
    1,892.34/2,611.56 = 1,106.64/x
  3. Step 3: Cross multiply
    1,892.34x = 2,611.56 × 1,106.64
  4. Step 4: Simplify right side
    1,892.34x = 2,890,056.76
  5. Step 5: Solve for x
    x = 2,890,056.76/1,892.34
  6. Step 6: Final answer
    x = 1,527.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.