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Finding the Fourth Proportional to 3,175.60, 4,763.50 and 984.35

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Solution

The fourth proportional to 3,175.60, 4,763.50 and 984.35 is: 1,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.60 : 4,763.50 = 984.35 : x
  2. Step 2: Convert to fraction form
    3,175.60/4,763.50 = 984.35/x
  3. Step 3: Cross multiply
    3,175.60x = 4,763.50 × 984.35
  4. Step 4: Simplify right side
    3,175.60x = 4,688,924.95
  5. Step 5: Solve for x
    x = 4,688,924.95/3,175.60
  6. Step 6: Final answer
    x = 1,476.55

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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.