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Finding the Fourth Proportional to 1,915.94, 2,874.48 and 617.54

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Solution

The fourth proportional to 1,915.94, 2,874.48 and 617.54 is: 926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.94 : 2,874.48 = 617.54 : x
  2. Step 2: Convert to fraction form
    1,915.94/2,874.48 = 617.54/x
  3. Step 3: Cross multiply
    1,915.94x = 2,874.48 × 617.54
  4. Step 4: Simplify right side
    1,915.94x = 1,775,106.38
  5. Step 5: Solve for x
    x = 1,775,106.38/1,915.94
  6. Step 6: Final answer
    x = 926.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.