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Finding the Fourth Proportional to 2,802.94, 4,201.98 and 1,415.12

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Solution

The fourth proportional to 2,802.94, 4,201.98 and 1,415.12 is: 2,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.94 : 4,201.98 = 1,415.12 : x
  2. Step 2: Convert to fraction form
    2,802.94/4,201.98 = 1,415.12/x
  3. Step 3: Cross multiply
    2,802.94x = 4,201.98 × 1,415.12
  4. Step 4: Simplify right side
    2,802.94x = 5,946,305.94
  5. Step 5: Solve for x
    x = 5,946,305.94/2,802.94
  6. Step 6: Final answer
    x = 2,121.45

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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.