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Finding the Fourth Proportional to 3,382.76, 4,666.74 and 2,038.92

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Solution

The fourth proportional to 3,382.76, 4,666.74 and 2,038.92 is: 2,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.76 : 4,666.74 = 2,038.92 : x
  2. Step 2: Convert to fraction form
    3,382.76/4,666.74 = 2,038.92/x
  3. Step 3: Cross multiply
    3,382.76x = 4,666.74 × 2,038.92
  4. Step 4: Simplify right side
    3,382.76x = 9,515,109.52
  5. Step 5: Solve for x
    x = 9,515,109.52/3,382.76
  6. Step 6: Final answer
    x = 2,812.82

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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.