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Finding the Fourth Proportional to 1,346.09, 1,857.15 and 848.86

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Solution

The fourth proportional to 1,346.09, 1,857.15 and 848.86 is: 1,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.09 : 1,857.15 = 848.86 : x
  2. Step 2: Convert to fraction form
    1,346.09/1,857.15 = 848.86/x
  3. Step 3: Cross multiply
    1,346.09x = 1,857.15 × 848.86
  4. Step 4: Simplify right side
    1,346.09x = 1,576,451.06
  5. Step 5: Solve for x
    x = 1,576,451.06/1,346.09
  6. Step 6: Final answer
    x = 1,171.13

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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.