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Finding the Fourth Proportional to 1,392.62, 1,922.52 and 946.85

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Solution

The fourth proportional to 1,392.62, 1,922.52 and 946.85 is: 1,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.62 : 1,922.52 = 946.85 : x
  2. Step 2: Convert to fraction form
    1,392.62/1,922.52 = 946.85/x
  3. Step 3: Cross multiply
    1,392.62x = 1,922.52 × 946.85
  4. Step 4: Simplify right side
    1,392.62x = 1,820,328.45
  5. Step 5: Solve for x
    x = 1,820,328.45/1,392.62
  6. Step 6: Final answer
    x = 1,307.13

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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.