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Finding the Fourth Proportional to 2,412.50, 3,329.26 and 1,308.50

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Solution

The fourth proportional to 2,412.50, 3,329.26 and 1,308.50 is: 1,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.50 : 3,329.26 = 1,308.50 : x
  2. Step 2: Convert to fraction form
    2,412.50/3,329.26 = 1,308.50/x
  3. Step 3: Cross multiply
    2,412.50x = 3,329.26 × 1,308.50
  4. Step 4: Simplify right side
    2,412.50x = 4,356,336.71
  5. Step 5: Solve for x
    x = 4,356,336.71/2,412.50
  6. Step 6: Final answer
    x = 1,805.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.