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Finding the Fourth Proportional to 3,302.60, 4,951.30 and 1,637.30

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Solution

The fourth proportional to 3,302.60, 4,951.30 and 1,637.30 is: 2,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.60 : 4,951.30 = 1,637.30 : x
  2. Step 2: Convert to fraction form
    3,302.60/4,951.30 = 1,637.30/x
  3. Step 3: Cross multiply
    3,302.60x = 4,951.30 × 1,637.30
  4. Step 4: Simplify right side
    3,302.60x = 8,106,758.62
  5. Step 5: Solve for x
    x = 8,106,758.62/3,302.60
  6. Step 6: Final answer
    x = 2,454.66

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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.