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Finding the Fourth Proportional to 2,944.44, 4,412.98 and 1,484

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Solution

The fourth proportional to 2,944.44, 4,412.98 and 1,484 is: 2,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.44 : 4,412.98 = 1,484 : x
  2. Step 2: Convert to fraction form
    2,944.44/4,412.98 = 1,484/x
  3. Step 3: Cross multiply
    2,944.44x = 4,412.98 × 1,484
  4. Step 4: Simplify right side
    2,944.44x = 6,548,862.32
  5. Step 5: Solve for x
    x = 6,548,862.32/2,944.44
  6. Step 6: Final answer
    x = 2,224.15

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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.