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Finding the Fourth Proportional to 1,489.95, 2,230.98 and 1,258.29

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Solution

The fourth proportional to 1,489.95, 2,230.98 and 1,258.29 is: 1,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.95 : 2,230.98 = 1,258.29 : x
  2. Step 2: Convert to fraction form
    1,489.95/2,230.98 = 1,258.29/x
  3. Step 3: Cross multiply
    1,489.95x = 2,230.98 × 1,258.29
  4. Step 4: Simplify right side
    1,489.95x = 2,807,219.82
  5. Step 5: Solve for x
    x = 2,807,219.82/1,489.95
  6. Step 6: Final answer
    x = 1,884.10

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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.