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Finding the Fourth Proportional to 1,943.42, 2,915.09 and 482.57

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Solution

The fourth proportional to 1,943.42, 2,915.09 and 482.57 is: 723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.42 : 2,915.09 = 482.57 : x
  2. Step 2: Convert to fraction form
    1,943.42/2,915.09 = 482.57/x
  3. Step 3: Cross multiply
    1,943.42x = 2,915.09 × 482.57
  4. Step 4: Simplify right side
    1,943.42x = 1,406,717.99
  5. Step 5: Solve for x
    x = 1,406,717.99/1,943.42
  6. Step 6: Final answer
    x = 723.84

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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.