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Finding the Fourth Proportional to 3,204.96, 4,810.14 and 1,258.53

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Solution

The fourth proportional to 3,204.96, 4,810.14 and 1,258.53 is: 1,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.96 : 4,810.14 = 1,258.53 : x
  2. Step 2: Convert to fraction form
    3,204.96/4,810.14 = 1,258.53/x
  3. Step 3: Cross multiply
    3,204.96x = 4,810.14 × 1,258.53
  4. Step 4: Simplify right side
    3,204.96x = 6,053,705.49
  5. Step 5: Solve for x
    x = 6,053,705.49/3,204.96
  6. Step 6: Final answer
    x = 1,888.86

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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.