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Finding the Fourth Proportional to 2,947.17, 4,420.76 and 999.22

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Solution

The fourth proportional to 2,947.17, 4,420.76 and 999.22 is: 1,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.17 : 4,420.76 = 999.22 : x
  2. Step 2: Convert to fraction form
    2,947.17/4,420.76 = 999.22/x
  3. Step 3: Cross multiply
    2,947.17x = 4,420.76 × 999.22
  4. Step 4: Simplify right side
    2,947.17x = 4,417,311.81
  5. Step 5: Solve for x
    x = 4,417,311.81/2,947.17
  6. Step 6: Final answer
    x = 1,498.83

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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.