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Finding the Fourth Proportional to 1,676.61, 2,313.55 and 930.55

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Solution

The fourth proportional to 1,676.61, 2,313.55 and 930.55 is: 1,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.61 : 2,313.55 = 930.55 : x
  2. Step 2: Convert to fraction form
    1,676.61/2,313.55 = 930.55/x
  3. Step 3: Cross multiply
    1,676.61x = 2,313.55 × 930.55
  4. Step 4: Simplify right side
    1,676.61x = 2,152,873.95
  5. Step 5: Solve for x
    x = 2,152,873.95/1,676.61
  6. Step 6: Final answer
    x = 1,284.06

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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.