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Finding the Fourth Proportional to 3,251.85, 4,877.74 and 1,304.02

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Solution

The fourth proportional to 3,251.85, 4,877.74 and 1,304.02 is: 1,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.85 : 4,877.74 = 1,304.02 : x
  2. Step 2: Convert to fraction form
    3,251.85/4,877.74 = 1,304.02/x
  3. Step 3: Cross multiply
    3,251.85x = 4,877.74 × 1,304.02
  4. Step 4: Simplify right side
    3,251.85x = 6,360,670.51
  5. Step 5: Solve for x
    x = 6,360,670.51/3,251.85
  6. Step 6: Final answer
    x = 1,956.02

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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.