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Finding the Fourth Proportional to 2,079.58, 3,117.20 and 983.12

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Solution

The fourth proportional to 2,079.58, 3,117.20 and 983.12 is: 1,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.58 : 3,117.20 = 983.12 : x
  2. Step 2: Convert to fraction form
    2,079.58/3,117.20 = 983.12/x
  3. Step 3: Cross multiply
    2,079.58x = 3,117.20 × 983.12
  4. Step 4: Simplify right side
    2,079.58x = 3,064,581.66
  5. Step 5: Solve for x
    x = 3,064,581.66/2,079.58
  6. Step 6: Final answer
    x = 1,473.65

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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.