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Finding the Fourth Proportional to 2,775.93, 4,165.25 and 1,313.34

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Solution

The fourth proportional to 2,775.93, 4,165.25 and 1,313.34 is: 1,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.93 : 4,165.25 = 1,313.34 : x
  2. Step 2: Convert to fraction form
    2,775.93/4,165.25 = 1,313.34/x
  3. Step 3: Cross multiply
    2,775.93x = 4,165.25 × 1,313.34
  4. Step 4: Simplify right side
    2,775.93x = 5,470,382.87
  5. Step 5: Solve for x
    x = 5,470,382.87/2,775.93
  6. Step 6: Final answer
    x = 1,970.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.