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Finding the Fourth Proportional to 2,683.90, 4,025.08 and 928.45

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Solution

The fourth proportional to 2,683.90, 4,025.08 and 928.45 is: 1,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.90 : 4,025.08 = 928.45 : x
  2. Step 2: Convert to fraction form
    2,683.90/4,025.08 = 928.45/x
  3. Step 3: Cross multiply
    2,683.90x = 4,025.08 × 928.45
  4. Step 4: Simplify right side
    2,683.90x = 3,737,085.53
  5. Step 5: Solve for x
    x = 3,737,085.53/2,683.90
  6. Step 6: Final answer
    x = 1,392.41

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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.