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Finding the Fourth Proportional to 2,068.41, 3,102.47 and 607.44

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Solution

The fourth proportional to 2,068.41, 3,102.47 and 607.44 is: 911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.41 : 3,102.47 = 607.44 : x
  2. Step 2: Convert to fraction form
    2,068.41/3,102.47 = 607.44/x
  3. Step 3: Cross multiply
    2,068.41x = 3,102.47 × 607.44
  4. Step 4: Simplify right side
    2,068.41x = 1,884,575.25
  5. Step 5: Solve for x
    x = 1,884,575.25/2,068.41
  6. Step 6: Final answer
    x = 911.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.