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Finding the Fourth Proportional to 2,401.92, 3,602.90 and 2,076.32

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Solution

The fourth proportional to 2,401.92, 3,602.90 and 2,076.32 is: 3,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.92 : 3,602.90 = 2,076.32 : x
  2. Step 2: Convert to fraction form
    2,401.92/3,602.90 = 2,076.32/x
  3. Step 3: Cross multiply
    2,401.92x = 3,602.90 × 2,076.32
  4. Step 4: Simplify right side
    2,401.92x = 7,480,773.33
  5. Step 5: Solve for x
    x = 7,480,773.33/2,401.92
  6. Step 6: Final answer
    x = 3,114.50

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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.