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Finding the Fourth Proportional to 2,864.58, 4,296.62 and 1,946.04

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Solution

The fourth proportional to 2,864.58, 4,296.62 and 1,946.04 is: 2,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.58 : 4,296.62 = 1,946.04 : x
  2. Step 2: Convert to fraction form
    2,864.58/4,296.62 = 1,946.04/x
  3. Step 3: Cross multiply
    2,864.58x = 4,296.62 × 1,946.04
  4. Step 4: Simplify right side
    2,864.58x = 8,361,394.38
  5. Step 5: Solve for x
    x = 8,361,394.38/2,864.58
  6. Step 6: Final answer
    x = 2,918.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.