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Finding the Fourth Proportional to 1,445.92, 1,994.34 and 922.72

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Solution

The fourth proportional to 1,445.92, 1,994.34 and 922.72 is: 1,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.92 : 1,994.34 = 922.72 : x
  2. Step 2: Convert to fraction form
    1,445.92/1,994.34 = 922.72/x
  3. Step 3: Cross multiply
    1,445.92x = 1,994.34 × 922.72
  4. Step 4: Simplify right side
    1,445.92x = 1,840,217.40
  5. Step 5: Solve for x
    x = 1,840,217.40/1,445.92
  6. Step 6: Final answer
    x = 1,272.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.