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Finding the Fourth Proportional to 1,581.90, 2,369.79 and 922.11

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Solution

The fourth proportional to 1,581.90, 2,369.79 and 922.11 is: 1,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.90 : 2,369.79 = 922.11 : x
  2. Step 2: Convert to fraction form
    1,581.90/2,369.79 = 922.11/x
  3. Step 3: Cross multiply
    1,581.90x = 2,369.79 × 922.11
  4. Step 4: Simplify right side
    1,581.90x = 2,185,207.06
  5. Step 5: Solve for x
    x = 2,185,207.06/1,581.90
  6. Step 6: Final answer
    x = 1,381.38

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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.