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Finding the Fourth Proportional to 2,802.46, 4,200.09 and 1,412.69

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Solution

The fourth proportional to 2,802.46, 4,200.09 and 1,412.69 is: 2,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.46 : 4,200.09 = 1,412.69 : x
  2. Step 2: Convert to fraction form
    2,802.46/4,200.09 = 1,412.69/x
  3. Step 3: Cross multiply
    2,802.46x = 4,200.09 × 1,412.69
  4. Step 4: Simplify right side
    2,802.46x = 5,933,425.14
  5. Step 5: Solve for x
    x = 5,933,425.14/2,802.46
  6. Step 6: Final answer
    x = 2,117.22

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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.