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Finding the Fourth Proportional to 1,444.56, 1,994.40 and 947.92

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Solution

The fourth proportional to 1,444.56, 1,994.40 and 947.92 is: 1,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.56 : 1,994.40 = 947.92 : x
  2. Step 2: Convert to fraction form
    1,444.56/1,994.40 = 947.92/x
  3. Step 3: Cross multiply
    1,444.56x = 1,994.40 × 947.92
  4. Step 4: Simplify right side
    1,444.56x = 1,890,531.65
  5. Step 5: Solve for x
    x = 1,890,531.65/1,444.56
  6. Step 6: Final answer
    x = 1,308.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.