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Finding the Fourth Proportional to 3,116.00, 4,673.90 and 924.75

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Solution

The fourth proportional to 3,116.00, 4,673.90 and 924.75 is: 1,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.00 : 4,673.90 = 924.75 : x
  2. Step 2: Convert to fraction form
    3,116.00/4,673.90 = 924.75/x
  3. Step 3: Cross multiply
    3,116.00x = 4,673.90 × 924.75
  4. Step 4: Simplify right side
    3,116.00x = 4,322,191.34
  5. Step 5: Solve for x
    x = 4,322,191.34/3,116.00
  6. Step 6: Final answer
    x = 1,387.09

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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.