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Finding the Fourth Proportional to 1,938.34, 2,905.87 and 841.88

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Solution

The fourth proportional to 1,938.34, 2,905.87 and 841.88 is: 1,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.34 : 2,905.87 = 841.88 : x
  2. Step 2: Convert to fraction form
    1,938.34/2,905.87 = 841.88/x
  3. Step 3: Cross multiply
    1,938.34x = 2,905.87 × 841.88
  4. Step 4: Simplify right side
    1,938.34x = 2,446,393.84
  5. Step 5: Solve for x
    x = 2,446,393.84/1,938.34
  6. Step 6: Final answer
    x = 1,262.11

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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.