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Finding the Fourth Proportional to 2,683.85, 4,025.57 and 929.69

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Solution

The fourth proportional to 2,683.85, 4,025.57 and 929.69 is: 1,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.85 : 4,025.57 = 929.69 : x
  2. Step 2: Convert to fraction form
    2,683.85/4,025.57 = 929.69/x
  3. Step 3: Cross multiply
    2,683.85x = 4,025.57 × 929.69
  4. Step 4: Simplify right side
    2,683.85x = 3,742,507.40
  5. Step 5: Solve for x
    x = 3,742,507.40/2,683.85
  6. Step 6: Final answer
    x = 1,394.46

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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.