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Finding the Fourth Proportional to 2,359.95, 3,539.96 and 1,206.51

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Solution

The fourth proportional to 2,359.95, 3,539.96 and 1,206.51 is: 1,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.95 : 3,539.96 = 1,206.51 : x
  2. Step 2: Convert to fraction form
    2,359.95/3,539.96 = 1,206.51/x
  3. Step 3: Cross multiply
    2,359.95x = 3,539.96 × 1,206.51
  4. Step 4: Simplify right side
    2,359.95x = 4,270,991.11
  5. Step 5: Solve for x
    x = 4,270,991.11/2,359.95
  6. Step 6: Final answer
    x = 1,809.78

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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.