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Finding the Fourth Proportional to 1,508.09, 2,262.32 and 922.82

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Solution

The fourth proportional to 1,508.09, 2,262.32 and 922.82 is: 1,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.09 : 2,262.32 = 922.82 : x
  2. Step 2: Convert to fraction form
    1,508.09/2,262.32 = 922.82/x
  3. Step 3: Cross multiply
    1,508.09x = 2,262.32 × 922.82
  4. Step 4: Simplify right side
    1,508.09x = 2,087,698.22
  5. Step 5: Solve for x
    x = 2,087,698.22/1,508.09
  6. Step 6: Final answer
    x = 1,384.34

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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.