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Finding the Fourth Proportional to 1,946.84, 2,920.26 and 971.96

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Solution

The fourth proportional to 1,946.84, 2,920.26 and 971.96 is: 1,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.84 : 2,920.26 = 971.96 : x
  2. Step 2: Convert to fraction form
    1,946.84/2,920.26 = 971.96/x
  3. Step 3: Cross multiply
    1,946.84x = 2,920.26 × 971.96
  4. Step 4: Simplify right side
    1,946.84x = 2,838,375.91
  5. Step 5: Solve for x
    x = 2,838,375.91/1,946.84
  6. Step 6: Final answer
    x = 1,457.94

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Why These Related Problems?

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