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Finding the Fourth Proportional to 2,523.15, 3,783.51 and 962.69

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Solution

The fourth proportional to 2,523.15, 3,783.51 and 962.69 is: 1,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.15 : 3,783.51 = 962.69 : x
  2. Step 2: Convert to fraction form
    2,523.15/3,783.51 = 962.69/x
  3. Step 3: Cross multiply
    2,523.15x = 3,783.51 × 962.69
  4. Step 4: Simplify right side
    2,523.15x = 3,642,328.32
  5. Step 5: Solve for x
    x = 3,642,328.32/2,523.15
  6. Step 6: Final answer
    x = 1,443.56

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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.