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Finding the Fourth Proportional to 1,946.64, 2,686.32 and 1,160.40

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Solution

The fourth proportional to 1,946.64, 2,686.32 and 1,160.40 is: 1,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.64 : 2,686.32 = 1,160.40 : x
  2. Step 2: Convert to fraction form
    1,946.64/2,686.32 = 1,160.40/x
  3. Step 3: Cross multiply
    1,946.64x = 2,686.32 × 1,160.40
  4. Step 4: Simplify right side
    1,946.64x = 3,117,205.73
  5. Step 5: Solve for x
    x = 3,117,205.73/1,946.64
  6. Step 6: Final answer
    x = 1,601.33

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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.