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Finding the Fourth Proportional to 3,057.65, 4,215.12 and 2,259.80

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Solution

The fourth proportional to 3,057.65, 4,215.12 and 2,259.80 is: 3,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.65 : 4,215.12 = 2,259.80 : x
  2. Step 2: Convert to fraction form
    3,057.65/4,215.12 = 2,259.80/x
  3. Step 3: Cross multiply
    3,057.65x = 4,215.12 × 2,259.80
  4. Step 4: Simplify right side
    3,057.65x = 9,525,328.18
  5. Step 5: Solve for x
    x = 9,525,328.18/3,057.65
  6. Step 6: Final answer
    x = 3,115.24

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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.