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Finding the Fourth Proportional to 1,463.53, 2,184.23 and 1,424.65

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Solution

The fourth proportional to 1,463.53, 2,184.23 and 1,424.65 is: 2,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.53 : 2,184.23 = 1,424.65 : x
  2. Step 2: Convert to fraction form
    1,463.53/2,184.23 = 1,424.65/x
  3. Step 3: Cross multiply
    1,463.53x = 2,184.23 × 1,424.65
  4. Step 4: Simplify right side
    1,463.53x = 3,111,763.27
  5. Step 5: Solve for x
    x = 3,111,763.27/1,463.53
  6. Step 6: Final answer
    x = 2,126.20

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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.