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Finding the Fourth Proportional to 4,512.04, 6,767.90 and 1,434.12

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Solution

The fourth proportional to 4,512.04, 6,767.90 and 1,434.12 is: 2,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.04 : 6,767.90 = 1,434.12 : x
  2. Step 2: Convert to fraction form
    4,512.04/6,767.90 = 1,434.12/x
  3. Step 3: Cross multiply
    4,512.04x = 6,767.90 × 1,434.12
  4. Step 4: Simplify right side
    4,512.04x = 9,705,980.75
  5. Step 5: Solve for x
    x = 9,705,980.75/4,512.04
  6. Step 6: Final answer
    x = 2,151.13

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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.