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Finding the Fourth Proportional to 2,564.83, 3,539.79 and 1,777.51

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Solution

The fourth proportional to 2,564.83, 3,539.79 and 1,777.51 is: 2,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.83 : 3,539.79 = 1,777.51 : x
  2. Step 2: Convert to fraction form
    2,564.83/3,539.79 = 1,777.51/x
  3. Step 3: Cross multiply
    2,564.83x = 3,539.79 × 1,777.51
  4. Step 4: Simplify right side
    2,564.83x = 6,292,012.12
  5. Step 5: Solve for x
    x = 6,292,012.12/2,564.83
  6. Step 6: Final answer
    x = 2,453.19

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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.