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Finding the Fourth Proportional to 2,744.72, 4,117.08 and 1,284.90

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Solution

The fourth proportional to 2,744.72, 4,117.08 and 1,284.90 is: 1,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.72 : 4,117.08 = 1,284.90 : x
  2. Step 2: Convert to fraction form
    2,744.72/4,117.08 = 1,284.90/x
  3. Step 3: Cross multiply
    2,744.72x = 4,117.08 × 1,284.90
  4. Step 4: Simplify right side
    2,744.72x = 5,290,036.09
  5. Step 5: Solve for x
    x = 5,290,036.09/2,744.72
  6. Step 6: Final answer
    x = 1,927.35

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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.