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Finding the Fourth Proportional to 1,471.89, 2,207.84 and 376.34

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Solution

The fourth proportional to 1,471.89, 2,207.84 and 376.34 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.89 : 2,207.84 = 376.34 : x
  2. Step 2: Convert to fraction form
    1,471.89/2,207.84 = 376.34/x
  3. Step 3: Cross multiply
    1,471.89x = 2,207.84 × 376.34
  4. Step 4: Simplify right side
    1,471.89x = 830,885.58
  5. Step 5: Solve for x
    x = 830,885.58/1,471.89
  6. Step 6: Final answer
    x = 564.50

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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.