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Finding the Fourth Proportional to 1,346.16, 1,857.36 and 786.24

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Solution

The fourth proportional to 1,346.16, 1,857.36 and 786.24 is: 1,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.16 : 1,857.36 = 786.24 : x
  2. Step 2: Convert to fraction form
    1,346.16/1,857.36 = 786.24/x
  3. Step 3: Cross multiply
    1,346.16x = 1,857.36 × 786.24
  4. Step 4: Simplify right side
    1,346.16x = 1,460,330.73
  5. Step 5: Solve for x
    x = 1,460,330.73/1,346.16
  6. Step 6: Final answer
    x = 1,084.81

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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.