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Finding the Fourth Proportional to 3,128.42, 4,688.52 and 1,742.41

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Solution

The fourth proportional to 3,128.42, 4,688.52 and 1,742.41 is: 2,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.42 : 4,688.52 = 1,742.41 : x
  2. Step 2: Convert to fraction form
    3,128.42/4,688.52 = 1,742.41/x
  3. Step 3: Cross multiply
    3,128.42x = 4,688.52 × 1,742.41
  4. Step 4: Simplify right side
    3,128.42x = 8,169,323.46
  5. Step 5: Solve for x
    x = 8,169,323.46/3,128.42
  6. Step 6: Final answer
    x = 2,611.32

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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.