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Finding the Fourth Proportional to 1,957.59, 2,935.58 and 725.99

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Solution

The fourth proportional to 1,957.59, 2,935.58 and 725.99 is: 1,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.59 : 2,935.58 = 725.99 : x
  2. Step 2: Convert to fraction form
    1,957.59/2,935.58 = 725.99/x
  3. Step 3: Cross multiply
    1,957.59x = 2,935.58 × 725.99
  4. Step 4: Simplify right side
    1,957.59x = 2,131,183.42
  5. Step 5: Solve for x
    x = 2,131,183.42/1,957.59
  6. Step 6: Final answer
    x = 1,088.68

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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.