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Finding the Fourth Proportional to 1,462.53, 2,182.73 and 1,423.65

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Solution

The fourth proportional to 1,462.53, 2,182.73 and 1,423.65 is: 2,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.53 : 2,182.73 = 1,423.65 : x
  2. Step 2: Convert to fraction form
    1,462.53/2,182.73 = 1,423.65/x
  3. Step 3: Cross multiply
    1,462.53x = 2,182.73 × 1,423.65
  4. Step 4: Simplify right side
    1,462.53x = 3,107,436.45
  5. Step 5: Solve for x
    x = 3,107,436.45/1,462.53
  6. Step 6: Final answer
    x = 2,124.70

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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.