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Finding the Fourth Proportional to 1,946.70, 2,918.22 and 971.88

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Solution

The fourth proportional to 1,946.70, 2,918.22 and 971.88 is: 1,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.70 : 2,918.22 = 971.88 : x
  2. Step 2: Convert to fraction form
    1,946.70/2,918.22 = 971.88/x
  3. Step 3: Cross multiply
    1,946.70x = 2,918.22 × 971.88
  4. Step 4: Simplify right side
    1,946.70x = 2,836,159.65
  5. Step 5: Solve for x
    x = 2,836,159.65/1,946.70
  6. Step 6: Final answer
    x = 1,456.91

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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.