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Finding the Fourth Proportional to 1,943.45, 2,915.14 and 482.55

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Solution

The fourth proportional to 1,943.45, 2,915.14 and 482.55 is: 723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.45 : 2,915.14 = 482.55 : x
  2. Step 2: Convert to fraction form
    1,943.45/2,915.14 = 482.55/x
  3. Step 3: Cross multiply
    1,943.45x = 2,915.14 × 482.55
  4. Step 4: Simplify right side
    1,943.45x = 1,406,700.81
  5. Step 5: Solve for x
    x = 1,406,700.81/1,943.45
  6. Step 6: Final answer
    x = 723.82

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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.