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Finding the Fourth Proportional to 2,989.70, 4,486.46 and 1,258.32

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Solution

The fourth proportional to 2,989.70, 4,486.46 and 1,258.32 is: 1,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.70 : 4,486.46 = 1,258.32 : x
  2. Step 2: Convert to fraction form
    2,989.70/4,486.46 = 1,258.32/x
  3. Step 3: Cross multiply
    2,989.70x = 4,486.46 × 1,258.32
  4. Step 4: Simplify right side
    2,989.70x = 5,645,396.06
  5. Step 5: Solve for x
    x = 5,645,396.06/2,989.70
  6. Step 6: Final answer
    x = 1,888.28

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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.