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Finding the Fourth Proportional to 2,947.38, 4,421.46 and 999.06

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Solution

The fourth proportional to 2,947.38, 4,421.46 and 999.06 is: 1,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.38 : 4,421.46 = 999.06 : x
  2. Step 2: Convert to fraction form
    2,947.38/4,421.46 = 999.06/x
  3. Step 3: Cross multiply
    2,947.38x = 4,421.46 × 999.06
  4. Step 4: Simplify right side
    2,947.38x = 4,417,303.83
  5. Step 5: Solve for x
    x = 4,417,303.83/2,947.38
  6. Step 6: Final answer
    x = 1,498.72

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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.