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Finding the Fourth Proportional to 3,176.74, 4,764.93 and 1,886.41

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Solution

The fourth proportional to 3,176.74, 4,764.93 and 1,886.41 is: 2,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.74 : 4,764.93 = 1,886.41 : x
  2. Step 2: Convert to fraction form
    3,176.74/4,764.93 = 1,886.41/x
  3. Step 3: Cross multiply
    3,176.74x = 4,764.93 × 1,886.41
  4. Step 4: Simplify right side
    3,176.74x = 8,988,611.60
  5. Step 5: Solve for x
    x = 8,988,611.60/3,176.74
  6. Step 6: Final answer
    x = 2,829.51

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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.