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Finding the Fourth Proportional to 2,328.47, 3,212.06 and 1,768.01

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Solution

The fourth proportional to 2,328.47, 3,212.06 and 1,768.01 is: 2,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.47 : 3,212.06 = 1,768.01 : x
  2. Step 2: Convert to fraction form
    2,328.47/3,212.06 = 1,768.01/x
  3. Step 3: Cross multiply
    2,328.47x = 3,212.06 × 1,768.01
  4. Step 4: Simplify right side
    2,328.47x = 5,678,929.30
  5. Step 5: Solve for x
    x = 5,678,929.30/2,328.47
  6. Step 6: Final answer
    x = 2,438.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.