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Finding the Fourth Proportional to 1,943.44, 2,915.64 and 847.52

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Solution

The fourth proportional to 1,943.44, 2,915.64 and 847.52 is: 1,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.44 : 2,915.64 = 847.52 : x
  2. Step 2: Convert to fraction form
    1,943.44/2,915.64 = 847.52/x
  3. Step 3: Cross multiply
    1,943.44x = 2,915.64 × 847.52
  4. Step 4: Simplify right side
    1,943.44x = 2,471,063.21
  5. Step 5: Solve for x
    x = 2,471,063.21/1,943.44
  6. Step 6: Final answer
    x = 1,271.49

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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.