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Finding the Fourth Proportional to 1,490.96, 2,234.07 and 1,258.76

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Solution

The fourth proportional to 1,490.96, 2,234.07 and 1,258.76 is: 1,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.96 : 2,234.07 = 1,258.76 : x
  2. Step 2: Convert to fraction form
    1,490.96/2,234.07 = 1,258.76/x
  3. Step 3: Cross multiply
    1,490.96x = 2,234.07 × 1,258.76
  4. Step 4: Simplify right side
    1,490.96x = 2,812,163.54
  5. Step 5: Solve for x
    x = 2,812,163.54/1,490.96
  6. Step 6: Final answer
    x = 1,886.14

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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.