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Finding the Fourth Proportional to 2,230.52, 3,348.84 and 1,135.64

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Solution

The fourth proportional to 2,230.52, 3,348.84 and 1,135.64 is: 1,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.52 : 3,348.84 = 1,135.64 : x
  2. Step 2: Convert to fraction form
    2,230.52/3,348.84 = 1,135.64/x
  3. Step 3: Cross multiply
    2,230.52x = 3,348.84 × 1,135.64
  4. Step 4: Simplify right side
    2,230.52x = 3,803,059.91
  5. Step 5: Solve for x
    x = 3,803,059.91/2,230.52
  6. Step 6: Final answer
    x = 1,705.01

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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.