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Finding the Fourth Proportional to 1,905.34, 2,858.28 and 606.37

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Solution

The fourth proportional to 1,905.34, 2,858.28 and 606.37 is: 909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.34 : 2,858.28 = 606.37 : x
  2. Step 2: Convert to fraction form
    1,905.34/2,858.28 = 606.37/x
  3. Step 3: Cross multiply
    1,905.34x = 2,858.28 × 606.37
  4. Step 4: Simplify right side
    1,905.34x = 1,733,175.24
  5. Step 5: Solve for x
    x = 1,733,175.24/1,905.34
  6. Step 6: Final answer
    x = 909.64

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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.