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Finding the Fourth Proportional to 3,077.50, 4,245.60 and 2,335

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Solution

The fourth proportional to 3,077.50, 4,245.60 and 2,335 is: 3,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.50 : 4,245.60 = 2,335 : x
  2. Step 2: Convert to fraction form
    3,077.50/4,245.60 = 2,335/x
  3. Step 3: Cross multiply
    3,077.50x = 4,245.60 × 2,335
  4. Step 4: Simplify right side
    3,077.50x = 9,913,476
  5. Step 5: Solve for x
    x = 9,913,476/3,077.50
  6. Step 6: Final answer
    x = 3,221.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.