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Finding the Fourth Proportional to 2,463.99, 3,690.42 and 1,421.52

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Solution

The fourth proportional to 2,463.99, 3,690.42 and 1,421.52 is: 2,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.99 : 3,690.42 = 1,421.52 : x
  2. Step 2: Convert to fraction form
    2,463.99/3,690.42 = 1,421.52/x
  3. Step 3: Cross multiply
    2,463.99x = 3,690.42 × 1,421.52
  4. Step 4: Simplify right side
    2,463.99x = 5,246,005.84
  5. Step 5: Solve for x
    x = 5,246,005.84/2,463.99
  6. Step 6: Final answer
    x = 2,129.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.