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Finding the Fourth Proportional to 2,683.92, 4,025.10 and 1,040.10

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Solution

The fourth proportional to 2,683.92, 4,025.10 and 1,040.10 is: 1,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.92 : 4,025.10 = 1,040.10 : x
  2. Step 2: Convert to fraction form
    2,683.92/4,025.10 = 1,040.10/x
  3. Step 3: Cross multiply
    2,683.92x = 4,025.10 × 1,040.10
  4. Step 4: Simplify right side
    2,683.92x = 4,186,506.51
  5. Step 5: Solve for x
    x = 4,186,506.51/2,683.92
  6. Step 6: Final answer
    x = 1,559.85

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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.