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Finding the Fourth Proportional to 1,382.12, 1,907.46 and 1,032.20

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Solution

The fourth proportional to 1,382.12, 1,907.46 and 1,032.20 is: 1,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.12 : 1,907.46 = 1,032.20 : x
  2. Step 2: Convert to fraction form
    1,382.12/1,907.46 = 1,032.20/x
  3. Step 3: Cross multiply
    1,382.12x = 1,907.46 × 1,032.20
  4. Step 4: Simplify right side
    1,382.12x = 1,968,880.21
  5. Step 5: Solve for x
    x = 1,968,880.21/1,382.12
  6. Step 6: Final answer
    x = 1,424.54

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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.