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Finding the Fourth Proportional to 2,068.39, 3,102.48 and 508.30

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Solution

The fourth proportional to 2,068.39, 3,102.48 and 508.30 is: 762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.39 : 3,102.48 = 508.30 : x
  2. Step 2: Convert to fraction form
    2,068.39/3,102.48 = 508.30/x
  3. Step 3: Cross multiply
    2,068.39x = 3,102.48 × 508.30
  4. Step 4: Simplify right side
    2,068.39x = 1,576,990.12
  5. Step 5: Solve for x
    x = 1,576,990.12/2,068.39
  6. Step 6: Final answer
    x = 762.43

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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.