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Finding the Fourth Proportional to 3,204.64, 4,806.48 and 1,258.16

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Solution

The fourth proportional to 3,204.64, 4,806.48 and 1,258.16 is: 1,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.64 : 4,806.48 = 1,258.16 : x
  2. Step 2: Convert to fraction form
    3,204.64/4,806.48 = 1,258.16/x
  3. Step 3: Cross multiply
    3,204.64x = 4,806.48 × 1,258.16
  4. Step 4: Simplify right side
    3,204.64x = 6,047,320.88
  5. Step 5: Solve for x
    x = 6,047,320.88/3,204.64
  6. Step 6: Final answer
    x = 1,887.05

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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.