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Finding the Fourth Proportional to 1,946.43, 2,918.57 and 647.19

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Solution

The fourth proportional to 1,946.43, 2,918.57 and 647.19 is: 970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.43 : 2,918.57 = 647.19 : x
  2. Step 2: Convert to fraction form
    1,946.43/2,918.57 = 647.19/x
  3. Step 3: Cross multiply
    1,946.43x = 2,918.57 × 647.19
  4. Step 4: Simplify right side
    1,946.43x = 1,888,866.08
  5. Step 5: Solve for x
    x = 1,888,866.08/1,946.43
  6. Step 6: Final answer
    x = 970.43

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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.