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Finding the Fourth Proportional to 1,632.78, 2,448.21 and 983.10

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Solution

The fourth proportional to 1,632.78, 2,448.21 and 983.10 is: 1,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.78 : 2,448.21 = 983.10 : x
  2. Step 2: Convert to fraction form
    1,632.78/2,448.21 = 983.10/x
  3. Step 3: Cross multiply
    1,632.78x = 2,448.21 × 983.10
  4. Step 4: Simplify right side
    1,632.78x = 2,406,835.25
  5. Step 5: Solve for x
    x = 2,406,835.25/1,632.78
  6. Step 6: Final answer
    x = 1,474.07

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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.