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Finding the Fourth Proportional to 1,444.14, 1,993.88 and 972.56

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Solution

The fourth proportional to 1,444.14, 1,993.88 and 972.56 is: 1,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.14 : 1,993.88 = 972.56 : x
  2. Step 2: Convert to fraction form
    1,444.14/1,993.88 = 972.56/x
  3. Step 3: Cross multiply
    1,444.14x = 1,993.88 × 972.56
  4. Step 4: Simplify right side
    1,444.14x = 1,939,167.93
  5. Step 5: Solve for x
    x = 1,939,167.93/1,444.14
  6. Step 6: Final answer
    x = 1,342.78

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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.