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Finding the Fourth Proportional to 1,401.48, 2,102.16 and 361.50

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Solution

The fourth proportional to 1,401.48, 2,102.16 and 361.50 is: 542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.48 : 2,102.16 = 361.50 : x
  2. Step 2: Convert to fraction form
    1,401.48/2,102.16 = 361.50/x
  3. Step 3: Cross multiply
    1,401.48x = 2,102.16 × 361.50
  4. Step 4: Simplify right side
    1,401.48x = 759,930.84
  5. Step 5: Solve for x
    x = 759,930.84/1,401.48
  6. Step 6: Final answer
    x = 542.23

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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.