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Finding the Fourth Proportional to 2,947.15, 4,420.62 and 999.19

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Solution

The fourth proportional to 2,947.15, 4,420.62 and 999.19 is: 1,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.15 : 4,420.62 = 999.19 : x
  2. Step 2: Convert to fraction form
    2,947.15/4,420.62 = 999.19/x
  3. Step 3: Cross multiply
    2,947.15x = 4,420.62 × 999.19
  4. Step 4: Simplify right side
    2,947.15x = 4,417,039.30
  5. Step 5: Solve for x
    x = 4,417,039.30/2,947.15
  6. Step 6: Final answer
    x = 1,498.75

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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.