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Finding the Fourth Proportional to 2,078.91, 3,118.91 and 983.25

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Solution

The fourth proportional to 2,078.91, 3,118.91 and 983.25 is: 1,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.91 : 3,118.91 = 983.25 : x
  2. Step 2: Convert to fraction form
    2,078.91/3,118.91 = 983.25/x
  3. Step 3: Cross multiply
    2,078.91x = 3,118.91 × 983.25
  4. Step 4: Simplify right side
    2,078.91x = 3,066,663.34
  5. Step 5: Solve for x
    x = 3,066,663.34/2,078.91
  6. Step 6: Final answer
    x = 1,475.13

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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.