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Finding the Fourth Proportional to 1,346.95, 1,857.97 and 815.45

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Solution

The fourth proportional to 1,346.95, 1,857.97 and 815.45 is: 1,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.95 : 1,857.97 = 815.45 : x
  2. Step 2: Convert to fraction form
    1,346.95/1,857.97 = 815.45/x
  3. Step 3: Cross multiply
    1,346.95x = 1,857.97 × 815.45
  4. Step 4: Simplify right side
    1,346.95x = 1,515,081.64
  5. Step 5: Solve for x
    x = 1,515,081.64/1,346.95
  6. Step 6: Final answer
    x = 1,124.82

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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.