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Finding the Fourth Proportional to 2,086.65, 3,128.16 and 1,045.20

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Solution

The fourth proportional to 2,086.65, 3,128.16 and 1,045.20 is: 1,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.65 : 3,128.16 = 1,045.20 : x
  2. Step 2: Convert to fraction form
    2,086.65/3,128.16 = 1,045.20/x
  3. Step 3: Cross multiply
    2,086.65x = 3,128.16 × 1,045.20
  4. Step 4: Simplify right side
    2,086.65x = 3,269,537.18
  5. Step 5: Solve for x
    x = 3,269,537.18/2,086.65
  6. Step 6: Final answer
    x = 1,566.88

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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.