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Finding the Fourth Proportional to 2,434.66, 3,651.72 and 953.86

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Solution

The fourth proportional to 2,434.66, 3,651.72 and 953.86 is: 1,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.66 : 3,651.72 = 953.86 : x
  2. Step 2: Convert to fraction form
    2,434.66/3,651.72 = 953.86/x
  3. Step 3: Cross multiply
    2,434.66x = 3,651.72 × 953.86
  4. Step 4: Simplify right side
    2,434.66x = 3,483,229.64
  5. Step 5: Solve for x
    x = 3,483,229.64/2,434.66
  6. Step 6: Final answer
    x = 1,430.68

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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.