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Finding the Fourth Proportional to 1,552.70, 2,142.42 and 1,028.42

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Solution

The fourth proportional to 1,552.70, 2,142.42 and 1,028.42 is: 1,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.70 : 2,142.42 = 1,028.42 : x
  2. Step 2: Convert to fraction form
    1,552.70/2,142.42 = 1,028.42/x
  3. Step 3: Cross multiply
    1,552.70x = 2,142.42 × 1,028.42
  4. Step 4: Simplify right side
    1,552.70x = 2,203,307.58
  5. Step 5: Solve for x
    x = 2,203,307.58/1,552.70
  6. Step 6: Final answer
    x = 1,419.02

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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.