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Finding the Fourth Proportional to 2,359.02, 3,538.96 and 777.83

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Solution

The fourth proportional to 2,359.02, 3,538.96 and 777.83 is: 1,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.02 : 3,538.96 = 777.83 : x
  2. Step 2: Convert to fraction form
    2,359.02/3,538.96 = 777.83/x
  3. Step 3: Cross multiply
    2,359.02x = 3,538.96 × 777.83
  4. Step 4: Simplify right side
    2,359.02x = 2,752,689.62
  5. Step 5: Solve for x
    x = 2,752,689.62/2,359.02
  6. Step 6: Final answer
    x = 1,166.88

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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.