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Finding the Fourth Proportional to 1,902.46, 2,853.85 and 669.76

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Solution

The fourth proportional to 1,902.46, 2,853.85 and 669.76 is: 1,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.46 : 2,853.85 = 669.76 : x
  2. Step 2: Convert to fraction form
    1,902.46/2,853.85 = 669.76/x
  3. Step 3: Cross multiply
    1,902.46x = 2,853.85 × 669.76
  4. Step 4: Simplify right side
    1,902.46x = 1,911,394.58
  5. Step 5: Solve for x
    x = 1,911,394.58/1,902.46
  6. Step 6: Final answer
    x = 1,004.70

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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.