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Finding the Fourth Proportional to 1,926.60, 2,890.44 and 628.02

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Solution

The fourth proportional to 1,926.60, 2,890.44 and 628.02 is: 942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.60 : 2,890.44 = 628.02 : x
  2. Step 2: Convert to fraction form
    1,926.60/2,890.44 = 628.02/x
  3. Step 3: Cross multiply
    1,926.60x = 2,890.44 × 628.02
  4. Step 4: Simplify right side
    1,926.60x = 1,815,254.13
  5. Step 5: Solve for x
    x = 1,815,254.13/1,926.60
  6. Step 6: Final answer
    x = 942.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.