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Finding the Fourth Proportional to 2,453.76, 3,382.02 and 1,709.10

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Solution

The fourth proportional to 2,453.76, 3,382.02 and 1,709.10 is: 2,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.76 : 3,382.02 = 1,709.10 : x
  2. Step 2: Convert to fraction form
    2,453.76/3,382.02 = 1,709.10/x
  3. Step 3: Cross multiply
    2,453.76x = 3,382.02 × 1,709.10
  4. Step 4: Simplify right side
    2,453.76x = 5,780,210.38
  5. Step 5: Solve for x
    x = 5,780,210.38/2,453.76
  6. Step 6: Final answer
    x = 2,355.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.