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Finding the Fourth Proportional to 2,477.09, 3,715.23 and 745.31

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Solution

The fourth proportional to 2,477.09, 3,715.23 and 745.31 is: 1,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.09 : 3,715.23 = 745.31 : x
  2. Step 2: Convert to fraction form
    2,477.09/3,715.23 = 745.31/x
  3. Step 3: Cross multiply
    2,477.09x = 3,715.23 × 745.31
  4. Step 4: Simplify right side
    2,477.09x = 2,769,010.15
  5. Step 5: Solve for x
    x = 2,769,010.15/2,477.09
  6. Step 6: Final answer
    x = 1,117.85

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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.