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Finding the Fourth Proportional to 1,950.32, 2,691.76 and 1,700

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Solution

The fourth proportional to 1,950.32, 2,691.76 and 1,700 is: 2,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.32 : 2,691.76 = 1,700 : x
  2. Step 2: Convert to fraction form
    1,950.32/2,691.76 = 1,700/x
  3. Step 3: Cross multiply
    1,950.32x = 2,691.76 × 1,700
  4. Step 4: Simplify right side
    1,950.32x = 4,575,992
  5. Step 5: Solve for x
    x = 4,575,992/1,950.32
  6. Step 6: Final answer
    x = 2,346.28

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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.