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Finding the Fourth Proportional to 1,676.52, 2,313.36 and 930.42

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Solution

The fourth proportional to 1,676.52, 2,313.36 and 930.42 is: 1,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.52 : 2,313.36 = 930.42 : x
  2. Step 2: Convert to fraction form
    1,676.52/2,313.36 = 930.42/x
  3. Step 3: Cross multiply
    1,676.52x = 2,313.36 × 930.42
  4. Step 4: Simplify right side
    1,676.52x = 2,152,396.41
  5. Step 5: Solve for x
    x = 2,152,396.41/1,676.52
  6. Step 6: Final answer
    x = 1,283.85

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1.5x scale

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.