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Finding the Fourth Proportional to 1,423.20, 2,134.80 and 767.10

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Solution

The fourth proportional to 1,423.20, 2,134.80 and 767.10 is: 1,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.20 : 2,134.80 = 767.10 : x
  2. Step 2: Convert to fraction form
    1,423.20/2,134.80 = 767.10/x
  3. Step 3: Cross multiply
    1,423.20x = 2,134.80 × 767.10
  4. Step 4: Simplify right side
    1,423.20x = 1,637,605.08
  5. Step 5: Solve for x
    x = 1,637,605.08/1,423.20
  6. Step 6: Final answer
    x = 1,150.65

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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.