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Finding the Fourth Proportional to 1,926.37, 2,658.80 and 1,217.76

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Solution

The fourth proportional to 1,926.37, 2,658.80 and 1,217.76 is: 1,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.37 : 2,658.80 = 1,217.76 : x
  2. Step 2: Convert to fraction form
    1,926.37/2,658.80 = 1,217.76/x
  3. Step 3: Cross multiply
    1,926.37x = 2,658.80 × 1,217.76
  4. Step 4: Simplify right side
    1,926.37x = 3,237,780.29
  5. Step 5: Solve for x
    x = 3,237,780.29/1,926.37
  6. Step 6: Final answer
    x = 1,680.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.