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Finding the Fourth Proportional to 1,304.91, 1,946.84 and 1,291.14

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Solution

The fourth proportional to 1,304.91, 1,946.84 and 1,291.14 is: 1,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.91 : 1,946.84 = 1,291.14 : x
  2. Step 2: Convert to fraction form
    1,304.91/1,946.84 = 1,291.14/x
  3. Step 3: Cross multiply
    1,304.91x = 1,946.84 × 1,291.14
  4. Step 4: Simplify right side
    1,304.91x = 2,513,636.54
  5. Step 5: Solve for x
    x = 2,513,636.54/1,304.91
  6. Step 6: Final answer
    x = 1,926.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.