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Finding the Fourth Proportional to 1,975.07, 2,960.04 and 803.71

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Solution

The fourth proportional to 1,975.07, 2,960.04 and 803.71 is: 1,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.07 : 2,960.04 = 803.71 : x
  2. Step 2: Convert to fraction form
    1,975.07/2,960.04 = 803.71/x
  3. Step 3: Cross multiply
    1,975.07x = 2,960.04 × 803.71
  4. Step 4: Simplify right side
    1,975.07x = 2,379,009.73
  5. Step 5: Solve for x
    x = 2,379,009.73/1,975.07
  6. Step 6: Final answer
    x = 1,204.52

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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.