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Finding the Fourth Proportional to 2,513.67, 3,470.07 and 1,675.77

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Solution

The fourth proportional to 2,513.67, 3,470.07 and 1,675.77 is: 2,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.67 : 3,470.07 = 1,675.77 : x
  2. Step 2: Convert to fraction form
    2,513.67/3,470.07 = 1,675.77/x
  3. Step 3: Cross multiply
    2,513.67x = 3,470.07 × 1,675.77
  4. Step 4: Simplify right side
    2,513.67x = 5,815,039.20
  5. Step 5: Solve for x
    x = 5,815,039.20/2,513.67
  6. Step 6: Final answer
    x = 2,313.37

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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.