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Finding the Fourth Proportional to 1,333.12, 1,829.92 and 1,182.46

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Solution

The fourth proportional to 1,333.12, 1,829.92 and 1,182.46 is: 1,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.12 : 1,829.92 = 1,182.46 : x
  2. Step 2: Convert to fraction form
    1,333.12/1,829.92 = 1,182.46/x
  3. Step 3: Cross multiply
    1,333.12x = 1,829.92 × 1,182.46
  4. Step 4: Simplify right side
    1,333.12x = 2,163,807.20
  5. Step 5: Solve for x
    x = 2,163,807.20/1,333.12
  6. Step 6: Final answer
    x = 1,623.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.