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Finding the Fourth Proportional to 1,770.58, 2,454.54 and 1,676.90

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Solution

The fourth proportional to 1,770.58, 2,454.54 and 1,676.90 is: 2,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.58 : 2,454.54 = 1,676.90 : x
  2. Step 2: Convert to fraction form
    1,770.58/2,454.54 = 1,676.90/x
  3. Step 3: Cross multiply
    1,770.58x = 2,454.54 × 1,676.90
  4. Step 4: Simplify right side
    1,770.58x = 4,116,009.74
  5. Step 5: Solve for x
    x = 4,116,009.74/1,770.58
  6. Step 6: Final answer
    x = 2,324.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.