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Finding the Fourth Proportional to 1,902.40, 2,854.08 and 603.76

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Solution

The fourth proportional to 1,902.40, 2,854.08 and 603.76 is: 905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.40 : 2,854.08 = 603.76 : x
  2. Step 2: Convert to fraction form
    1,902.40/2,854.08 = 603.76/x
  3. Step 3: Cross multiply
    1,902.40x = 2,854.08 × 603.76
  4. Step 4: Simplify right side
    1,902.40x = 1,723,179.34
  5. Step 5: Solve for x
    x = 1,723,179.34/1,902.40
  6. Step 6: Final answer
    x = 905.79

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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.