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Finding the Fourth Proportional to 2,780.84, 4,168.35 and 930.43

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Solution

The fourth proportional to 2,780.84, 4,168.35 and 930.43 is: 1,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.84 : 4,168.35 = 930.43 : x
  2. Step 2: Convert to fraction form
    2,780.84/4,168.35 = 930.43/x
  3. Step 3: Cross multiply
    2,780.84x = 4,168.35 × 930.43
  4. Step 4: Simplify right side
    2,780.84x = 3,878,370.64
  5. Step 5: Solve for x
    x = 3,878,370.64/2,780.84
  6. Step 6: Final answer
    x = 1,394.68

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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.