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Finding the Fourth Proportional to 1,607.82, 2,219.51 and 944.71

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Solution

The fourth proportional to 1,607.82, 2,219.51 and 944.71 is: 1,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.82 : 2,219.51 = 944.71 : x
  2. Step 2: Convert to fraction form
    1,607.82/2,219.51 = 944.71/x
  3. Step 3: Cross multiply
    1,607.82x = 2,219.51 × 944.71
  4. Step 4: Simplify right side
    1,607.82x = 2,096,788.57
  5. Step 5: Solve for x
    x = 2,096,788.57/1,607.82
  6. Step 6: Final answer
    x = 1,304.12

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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.