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Finding the Fourth Proportional to 1,401.65, 2,102.15 and 621.23

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Solution

The fourth proportional to 1,401.65, 2,102.15 and 621.23 is: 931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.65 : 2,102.15 = 621.23 : x
  2. Step 2: Convert to fraction form
    1,401.65/2,102.15 = 621.23/x
  3. Step 3: Cross multiply
    1,401.65x = 2,102.15 × 621.23
  4. Step 4: Simplify right side
    1,401.65x = 1,305,905.03
  5. Step 5: Solve for x
    x = 1,305,905.03/1,401.65
  6. Step 6: Final answer
    x = 931.69

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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.