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Finding the Fourth Proportional to 1,366.62, 1,886.80 and 946.82

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Solution

The fourth proportional to 1,366.62, 1,886.80 and 946.82 is: 1,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.62 : 1,886.80 = 946.82 : x
  2. Step 2: Convert to fraction form
    1,366.62/1,886.80 = 946.82/x
  3. Step 3: Cross multiply
    1,366.62x = 1,886.80 × 946.82
  4. Step 4: Simplify right side
    1,366.62x = 1,786,462.33
  5. Step 5: Solve for x
    x = 1,786,462.33/1,366.62
  6. Step 6: Final answer
    x = 1,307.21

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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.