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Finding the Fourth Proportional to 1,210.92, 1,805.76 and 1,144.23

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Solution

The fourth proportional to 1,210.92, 1,805.76 and 1,144.23 is: 1,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.92 : 1,805.76 = 1,144.23 : x
  2. Step 2: Convert to fraction form
    1,210.92/1,805.76 = 1,144.23/x
  3. Step 3: Cross multiply
    1,210.92x = 1,805.76 × 1,144.23
  4. Step 4: Simplify right side
    1,210.92x = 2,066,204.76
  5. Step 5: Solve for x
    x = 2,066,204.76/1,210.92
  6. Step 6: Final answer
    x = 1,706.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.