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Finding the Fourth Proportional to 2,135.52, 3,196.80 and 2,064.24

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Solution

The fourth proportional to 2,135.52, 3,196.80 and 2,064.24 is: 3,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.52 : 3,196.80 = 2,064.24 : x
  2. Step 2: Convert to fraction form
    2,135.52/3,196.80 = 2,064.24/x
  3. Step 3: Cross multiply
    2,135.52x = 3,196.80 × 2,064.24
  4. Step 4: Simplify right side
    2,135.52x = 6,598,962.43
  5. Step 5: Solve for x
    x = 6,598,962.43/2,135.52
  6. Step 6: Final answer
    x = 3,090.10

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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.