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Finding the Fourth Proportional to 3,191.64, 4,784.88 and 999.24

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Solution

The fourth proportional to 3,191.64, 4,784.88 and 999.24 is: 1,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.64 : 4,784.88 = 999.24 : x
  2. Step 2: Convert to fraction form
    3,191.64/4,784.88 = 999.24/x
  3. Step 3: Cross multiply
    3,191.64x = 4,784.88 × 999.24
  4. Step 4: Simplify right side
    3,191.64x = 4,781,243.49
  5. Step 5: Solve for x
    x = 4,781,243.49/3,191.64
  6. Step 6: Final answer
    x = 1,498.05

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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.