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Finding the Fourth Proportional to 1,346.85, 1,850.76 and 1,097.64

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Solution

The fourth proportional to 1,346.85, 1,850.76 and 1,097.64 is: 1,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.85 : 1,850.76 = 1,097.64 : x
  2. Step 2: Convert to fraction form
    1,346.85/1,850.76 = 1,097.64/x
  3. Step 3: Cross multiply
    1,346.85x = 1,850.76 × 1,097.64
  4. Step 4: Simplify right side
    1,346.85x = 2,031,468.21
  5. Step 5: Solve for x
    x = 2,031,468.21/1,346.85
  6. Step 6: Final answer
    x = 1,508.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.