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Finding the Fourth Proportional to 2,746.14, 4,116.69 and 990.72

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Solution

The fourth proportional to 2,746.14, 4,116.69 and 990.72 is: 1,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.14 : 4,116.69 = 990.72 : x
  2. Step 2: Convert to fraction form
    2,746.14/4,116.69 = 990.72/x
  3. Step 3: Cross multiply
    2,746.14x = 4,116.69 × 990.72
  4. Step 4: Simplify right side
    2,746.14x = 4,078,487.12
  5. Step 5: Solve for x
    x = 4,078,487.12/2,746.14
  6. Step 6: Final answer
    x = 1,485.17

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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.