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Finding the Fourth Proportional to 1,428.58, 2,141.25 and 606.34

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Solution

The fourth proportional to 1,428.58, 2,141.25 and 606.34 is: 908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.58 : 2,141.25 = 606.34 : x
  2. Step 2: Convert to fraction form
    1,428.58/2,141.25 = 606.34/x
  3. Step 3: Cross multiply
    1,428.58x = 2,141.25 × 606.34
  4. Step 4: Simplify right side
    1,428.58x = 1,298,325.53
  5. Step 5: Solve for x
    x = 1,298,325.53/1,428.58
  6. Step 6: Final answer
    x = 908.82

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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.