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Finding the Fourth Proportional to 1,401.22, 2,102.19 and 535.06

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Solution

The fourth proportional to 1,401.22, 2,102.19 and 535.06 is: 802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.22 : 2,102.19 = 535.06 : x
  2. Step 2: Convert to fraction form
    1,401.22/2,102.19 = 535.06/x
  3. Step 3: Cross multiply
    1,401.22x = 2,102.19 × 535.06
  4. Step 4: Simplify right side
    1,401.22x = 1,124,797.78
  5. Step 5: Solve for x
    x = 1,124,797.78/1,401.22
  6. Step 6: Final answer
    x = 802.73

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