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Finding the Fourth Proportional to 1,961.49, 2,938.53 and 973.14

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Solution

The fourth proportional to 1,961.49, 2,938.53 and 973.14 is: 1,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.49 : 2,938.53 = 973.14 : x
  2. Step 2: Convert to fraction form
    1,961.49/2,938.53 = 973.14/x
  3. Step 3: Cross multiply
    1,961.49x = 2,938.53 × 973.14
  4. Step 4: Simplify right side
    1,961.49x = 2,859,601.08
  5. Step 5: Solve for x
    x = 2,859,601.08/1,961.49
  6. Step 6: Final answer
    x = 1,457.87

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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.