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Finding the Fourth Proportional to 2,539.76, 3,505.61 and 1,477.77

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Solution

The fourth proportional to 2,539.76, 3,505.61 and 1,477.77 is: 2,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.76 : 3,505.61 = 1,477.77 : x
  2. Step 2: Convert to fraction form
    2,539.76/3,505.61 = 1,477.77/x
  3. Step 3: Cross multiply
    2,539.76x = 3,505.61 × 1,477.77
  4. Step 4: Simplify right side
    2,539.76x = 5,180,485.29
  5. Step 5: Solve for x
    x = 5,180,485.29/2,539.76
  6. Step 6: Final answer
    x = 2,039.75

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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.