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Finding the Fourth Proportional to 1,829.55, 2,742.30 and 905.34

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Solution

The fourth proportional to 1,829.55, 2,742.30 and 905.34 is: 1,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.55 : 2,742.30 = 905.34 : x
  2. Step 2: Convert to fraction form
    1,829.55/2,742.30 = 905.34/x
  3. Step 3: Cross multiply
    1,829.55x = 2,742.30 × 905.34
  4. Step 4: Simplify right side
    1,829.55x = 2,482,713.88
  5. Step 5: Solve for x
    x = 2,482,713.88/1,829.55
  6. Step 6: Final answer
    x = 1,357.01

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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.