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Finding the Fourth Proportional to 2,683.17, 4,024.94 and 928.35

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Solution

The fourth proportional to 2,683.17, 4,024.94 and 928.35 is: 1,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.17 : 4,024.94 = 928.35 : x
  2. Step 2: Convert to fraction form
    2,683.17/4,024.94 = 928.35/x
  3. Step 3: Cross multiply
    2,683.17x = 4,024.94 × 928.35
  4. Step 4: Simplify right side
    2,683.17x = 3,736,548.41
  5. Step 5: Solve for x
    x = 3,736,548.41/2,683.17
  6. Step 6: Final answer
    x = 1,392.59

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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.