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Finding the Fourth Proportional to 1,302.43, 1,956.36 and 1,107.40

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Solution

The fourth proportional to 1,302.43, 1,956.36 and 1,107.40 is: 1,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.43 : 1,956.36 = 1,107.40 : x
  2. Step 2: Convert to fraction form
    1,302.43/1,956.36 = 1,107.40/x
  3. Step 3: Cross multiply
    1,302.43x = 1,956.36 × 1,107.40
  4. Step 4: Simplify right side
    1,302.43x = 2,166,473.06
  5. Step 5: Solve for x
    x = 2,166,473.06/1,302.43
  6. Step 6: Final answer
    x = 1,663.41

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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.