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Finding the Fourth Proportional to 1,675.76, 2,308.20 and 1,202.96

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Solution

The fourth proportional to 1,675.76, 2,308.20 and 1,202.96 is: 1,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.76 : 2,308.20 = 1,202.96 : x
  2. Step 2: Convert to fraction form
    1,675.76/2,308.20 = 1,202.96/x
  3. Step 3: Cross multiply
    1,675.76x = 2,308.20 × 1,202.96
  4. Step 4: Simplify right side
    1,675.76x = 2,776,672.27
  5. Step 5: Solve for x
    x = 2,776,672.27/1,675.76
  6. Step 6: Final answer
    x = 1,656.96

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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.