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Finding the Fourth Proportional to 2,126.64, 3,169.08 and 2,057.04

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Solution

The fourth proportional to 2,126.64, 3,169.08 and 2,057.04 is: 3,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.64 : 3,169.08 = 2,057.04 : x
  2. Step 2: Convert to fraction form
    2,126.64/3,169.08 = 2,057.04/x
  3. Step 3: Cross multiply
    2,126.64x = 3,169.08 × 2,057.04
  4. Step 4: Simplify right side
    2,126.64x = 6,518,924.32
  5. Step 5: Solve for x
    x = 6,518,924.32/2,126.64
  6. Step 6: Final answer
    x = 3,065.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.