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Finding the Fourth Proportional to 1,607.86, 2,219.31 and 944.74

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Solution

The fourth proportional to 1,607.86, 2,219.31 and 944.74 is: 1,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.86 : 2,219.31 = 944.74 : x
  2. Step 2: Convert to fraction form
    1,607.86/2,219.31 = 944.74/x
  3. Step 3: Cross multiply
    1,607.86x = 2,219.31 × 944.74
  4. Step 4: Simplify right side
    1,607.86x = 2,096,670.93
  5. Step 5: Solve for x
    x = 2,096,670.93/1,607.86
  6. Step 6: Final answer
    x = 1,304.01

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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.