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Finding the Fourth Proportional to 2,234.08, 3,348.10 and 1,064.60

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Solution

The fourth proportional to 2,234.08, 3,348.10 and 1,064.60 is: 1,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.08 : 3,348.10 = 1,064.60 : x
  2. Step 2: Convert to fraction form
    2,234.08/3,348.10 = 1,064.60/x
  3. Step 3: Cross multiply
    2,234.08x = 3,348.10 × 1,064.60
  4. Step 4: Simplify right side
    2,234.08x = 3,564,387.26
  5. Step 5: Solve for x
    x = 3,564,387.26/2,234.08
  6. Step 6: Final answer
    x = 1,595.46

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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.