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Finding the Fourth Proportional to 1,392.18, 1,921.24 and 762.72

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Solution

The fourth proportional to 1,392.18, 1,921.24 and 762.72 is: 1,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.18 : 1,921.24 = 762.72 : x
  2. Step 2: Convert to fraction form
    1,392.18/1,921.24 = 762.72/x
  3. Step 3: Cross multiply
    1,392.18x = 1,921.24 × 762.72
  4. Step 4: Simplify right side
    1,392.18x = 1,465,368.17
  5. Step 5: Solve for x
    x = 1,465,368.17/1,392.18
  6. Step 6: Final answer
    x = 1,052.57

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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.