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Finding the Fourth Proportional to 2,433.09, 3,651.40 and 972.65

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Solution

The fourth proportional to 2,433.09, 3,651.40 and 972.65 is: 1,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.09 : 3,651.40 = 972.65 : x
  2. Step 2: Convert to fraction form
    2,433.09/3,651.40 = 972.65/x
  3. Step 3: Cross multiply
    2,433.09x = 3,651.40 × 972.65
  4. Step 4: Simplify right side
    2,433.09x = 3,551,529.35
  5. Step 5: Solve for x
    x = 3,551,529.35/2,433.09
  6. Step 6: Final answer
    x = 1,459.68

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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.