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Finding the Fourth Proportional to 1,621.54, 2,433.21 and 647.70

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Solution

The fourth proportional to 1,621.54, 2,433.21 and 647.70 is: 971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.54 : 2,433.21 = 647.70 : x
  2. Step 2: Convert to fraction form
    1,621.54/2,433.21 = 647.70/x
  3. Step 3: Cross multiply
    1,621.54x = 2,433.21 × 647.70
  4. Step 4: Simplify right side
    1,621.54x = 1,575,990.12
  5. Step 5: Solve for x
    x = 1,575,990.12/1,621.54
  6. Step 6: Final answer
    x = 971.91

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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.