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Finding the Fourth Proportional to 1,676.94, 2,314.07 and 930.86

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Solution

The fourth proportional to 1,676.94, 2,314.07 and 930.86 is: 1,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.94 : 2,314.07 = 930.86 : x
  2. Step 2: Convert to fraction form
    1,676.94/2,314.07 = 930.86/x
  3. Step 3: Cross multiply
    1,676.94x = 2,314.07 × 930.86
  4. Step 4: Simplify right side
    1,676.94x = 2,154,058.98
  5. Step 5: Solve for x
    x = 2,154,058.98/1,676.94
  6. Step 6: Final answer
    x = 1,284.52

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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.