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Finding the Fourth Proportional to 1,593.44, 2,199.11 and 921.28

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Solution

The fourth proportional to 1,593.44, 2,199.11 and 921.28 is: 1,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.44 : 2,199.11 = 921.28 : x
  2. Step 2: Convert to fraction form
    1,593.44/2,199.11 = 921.28/x
  3. Step 3: Cross multiply
    1,593.44x = 2,199.11 × 921.28
  4. Step 4: Simplify right side
    1,593.44x = 2,025,981.61
  5. Step 5: Solve for x
    x = 2,025,981.61/1,593.44
  6. Step 6: Final answer
    x = 1,271.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.