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Finding the Fourth Proportional to 1,202.94, 1,802.76 and 1,083.06

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Solution

The fourth proportional to 1,202.94, 1,802.76 and 1,083.06 is: 1,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.94 : 1,802.76 = 1,083.06 : x
  2. Step 2: Convert to fraction form
    1,202.94/1,802.76 = 1,083.06/x
  3. Step 3: Cross multiply
    1,202.94x = 1,802.76 × 1,083.06
  4. Step 4: Simplify right side
    1,202.94x = 1,952,497.25
  5. Step 5: Solve for x
    x = 1,952,497.25/1,202.94
  6. Step 6: Final answer
    x = 1,623.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.