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Finding the Fourth Proportional to 2,045.16, 3,065.16 and 1,108.07

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Solution

The fourth proportional to 2,045.16, 3,065.16 and 1,108.07 is: 1,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.16 : 3,065.16 = 1,108.07 : x
  2. Step 2: Convert to fraction form
    2,045.16/3,065.16 = 1,108.07/x
  3. Step 3: Cross multiply
    2,045.16x = 3,065.16 × 1,108.07
  4. Step 4: Simplify right side
    2,045.16x = 3,396,396.52
  5. Step 5: Solve for x
    x = 3,396,396.52/2,045.16
  6. Step 6: Final answer
    x = 1,660.70

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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.