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Finding the Fourth Proportional to 2,234.61, 3,348.68 and 1,258.63

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Solution

The fourth proportional to 2,234.61, 3,348.68 and 1,258.63 is: 1,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.61 : 3,348.68 = 1,258.63 : x
  2. Step 2: Convert to fraction form
    2,234.61/3,348.68 = 1,258.63/x
  3. Step 3: Cross multiply
    2,234.61x = 3,348.68 × 1,258.63
  4. Step 4: Simplify right side
    2,234.61x = 4,214,734.44
  5. Step 5: Solve for x
    x = 4,214,734.44/2,234.61
  6. Step 6: Final answer
    x = 1,886.12

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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.