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Finding the Fourth Proportional to 1,785.34, 2,463.96 and 999.46

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Solution

The fourth proportional to 1,785.34, 2,463.96 and 999.46 is: 1,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.34 : 2,463.96 = 999.46 : x
  2. Step 2: Convert to fraction form
    1,785.34/2,463.96 = 999.46/x
  3. Step 3: Cross multiply
    1,785.34x = 2,463.96 × 999.46
  4. Step 4: Simplify right side
    1,785.34x = 2,462,629.46
  5. Step 5: Solve for x
    x = 2,462,629.46/1,785.34
  6. Step 6: Final answer
    x = 1,379.36

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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.