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Finding the Fourth Proportional to 3,065.40, 4,597.98 and 2,138.28

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Solution

The fourth proportional to 3,065.40, 4,597.98 and 2,138.28 is: 3,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.40 : 4,597.98 = 2,138.28 : x
  2. Step 2: Convert to fraction form
    3,065.40/4,597.98 = 2,138.28/x
  3. Step 3: Cross multiply
    3,065.40x = 4,597.98 × 2,138.28
  4. Step 4: Simplify right side
    3,065.40x = 9,831,768.67
  5. Step 5: Solve for x
    x = 9,831,768.67/3,065.40
  6. Step 6: Final answer
    x = 3,207.34

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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.