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Finding the Fourth Proportional to 2,429.76, 3,353.22 and 1,382.16

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Solution

The fourth proportional to 2,429.76, 3,353.22 and 1,382.16 is: 1,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.76 : 3,353.22 = 1,382.16 : x
  2. Step 2: Convert to fraction form
    2,429.76/3,353.22 = 1,382.16/x
  3. Step 3: Cross multiply
    2,429.76x = 3,353.22 × 1,382.16
  4. Step 4: Simplify right side
    2,429.76x = 4,634,686.56
  5. Step 5: Solve for x
    x = 4,634,686.56/2,429.76
  6. Step 6: Final answer
    x = 1,907.47

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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.