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Finding the Fourth Proportional to 1,833.12, 2,529.60 and 1,005.12

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Solution

The fourth proportional to 1,833.12, 2,529.60 and 1,005.12 is: 1,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.12 : 2,529.60 = 1,005.12 : x
  2. Step 2: Convert to fraction form
    1,833.12/2,529.60 = 1,005.12/x
  3. Step 3: Cross multiply
    1,833.12x = 2,529.60 × 1,005.12
  4. Step 4: Simplify right side
    1,833.12x = 2,542,551.55
  5. Step 5: Solve for x
    x = 2,542,551.55/1,833.12
  6. Step 6: Final answer
    x = 1,387.01

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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.