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Finding the Fourth Proportional to 1,838.97, 2,756.34 and 915.15

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Solution

The fourth proportional to 1,838.97, 2,756.34 and 915.15 is: 1,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.97 : 2,756.34 = 915.15 : x
  2. Step 2: Convert to fraction form
    1,838.97/2,756.34 = 915.15/x
  3. Step 3: Cross multiply
    1,838.97x = 2,756.34 × 915.15
  4. Step 4: Simplify right side
    1,838.97x = 2,522,464.55
  5. Step 5: Solve for x
    x = 2,522,464.55/1,838.97
  6. Step 6: Final answer
    x = 1,371.67

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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.