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Finding the Fourth Proportional to 1,399.05, 2,094.53 and 1,053.84

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Solution

The fourth proportional to 1,399.05, 2,094.53 and 1,053.84 is: 1,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.05 : 2,094.53 = 1,053.84 : x
  2. Step 2: Convert to fraction form
    1,399.05/2,094.53 = 1,053.84/x
  3. Step 3: Cross multiply
    1,399.05x = 2,094.53 × 1,053.84
  4. Step 4: Simplify right side
    1,399.05x = 2,207,294.23
  5. Step 5: Solve for x
    x = 2,207,294.23/1,399.05
  6. Step 6: Final answer
    x = 1,577.71

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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.