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Finding the Fourth Proportional to 2,802.08, 4,206 and 1,981.28

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Solution

The fourth proportional to 2,802.08, 4,206 and 1,981.28 is: 2,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.08 : 4,206 = 1,981.28 : x
  2. Step 2: Convert to fraction form
    2,802.08/4,206 = 1,981.28/x
  3. Step 3: Cross multiply
    2,802.08x = 4,206 × 1,981.28
  4. Step 4: Simplify right side
    2,802.08x = 8,333,263.68
  5. Step 5: Solve for x
    x = 8,333,263.68/2,802.08
  6. Step 6: Final answer
    x = 2,973.96

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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.