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Finding the Fourth Proportional to 2,975.85, 4,460.13 and 1,674.59

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Solution

The fourth proportional to 2,975.85, 4,460.13 and 1,674.59 is: 2,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.85 : 4,460.13 = 1,674.59 : x
  2. Step 2: Convert to fraction form
    2,975.85/4,460.13 = 1,674.59/x
  3. Step 3: Cross multiply
    2,975.85x = 4,460.13 × 1,674.59
  4. Step 4: Simplify right side
    2,975.85x = 7,468,866.80
  5. Step 5: Solve for x
    x = 7,468,866.80/2,975.85
  6. Step 6: Final answer
    x = 2,509.83

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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.