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Finding the Fourth Proportional to 1,366.34, 1,886.16 and 925.58

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Solution

The fourth proportional to 1,366.34, 1,886.16 and 925.58 is: 1,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.34 : 1,886.16 = 925.58 : x
  2. Step 2: Convert to fraction form
    1,366.34/1,886.16 = 925.58/x
  3. Step 3: Cross multiply
    1,366.34x = 1,886.16 × 925.58
  4. Step 4: Simplify right side
    1,366.34x = 1,745,791.97
  5. Step 5: Solve for x
    x = 1,745,791.97/1,366.34
  6. Step 6: Final answer
    x = 1,277.71

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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.