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Finding the Fourth Proportional to 2,433.86, 3,652.18 and 953.21

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Solution

The fourth proportional to 2,433.86, 3,652.18 and 953.21 is: 1,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.86 : 3,652.18 = 953.21 : x
  2. Step 2: Convert to fraction form
    2,433.86/3,652.18 = 953.21/x
  3. Step 3: Cross multiply
    2,433.86x = 3,652.18 × 953.21
  4. Step 4: Simplify right side
    2,433.86x = 3,481,276.24
  5. Step 5: Solve for x
    x = 3,481,276.24/2,433.86
  6. Step 6: Final answer
    x = 1,430.35

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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.