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Finding the Fourth Proportional to 2,078.10, 3,116.34 and 691.06

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Solution

The fourth proportional to 2,078.10, 3,116.34 and 691.06 is: 1,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.10 : 3,116.34 = 691.06 : x
  2. Step 2: Convert to fraction form
    2,078.10/3,116.34 = 691.06/x
  3. Step 3: Cross multiply
    2,078.10x = 3,116.34 × 691.06
  4. Step 4: Simplify right side
    2,078.10x = 2,153,577.92
  5. Step 5: Solve for x
    x = 2,153,577.92/2,078.10
  6. Step 6: Final answer
    x = 1,036.32

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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.