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Finding the Fourth Proportional to 2,906.89, 4,359.87 and 1,263.00

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Solution

The fourth proportional to 2,906.89, 4,359.87 and 1,263.00 is: 1,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.89 : 4,359.87 = 1,263.00 : x
  2. Step 2: Convert to fraction form
    2,906.89/4,359.87 = 1,263.00/x
  3. Step 3: Cross multiply
    2,906.89x = 4,359.87 × 1,263.00
  4. Step 4: Simplify right side
    2,906.89x = 5,506,494.01
  5. Step 5: Solve for x
    x = 5,506,494.01/2,906.89
  6. Step 6: Final answer
    x = 1,894.29

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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.