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Finding the Fourth Proportional to 1,946.76, 2,686.53 and 1,107.62

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Solution

The fourth proportional to 1,946.76, 2,686.53 and 1,107.62 is: 1,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.76 : 2,686.53 = 1,107.62 : x
  2. Step 2: Convert to fraction form
    1,946.76/2,686.53 = 1,107.62/x
  3. Step 3: Cross multiply
    1,946.76x = 2,686.53 × 1,107.62
  4. Step 4: Simplify right side
    1,946.76x = 2,975,660.92
  5. Step 5: Solve for x
    x = 2,975,660.92/1,946.76
  6. Step 6: Final answer
    x = 1,528.52

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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.