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Finding the Fourth Proportional to 1,906.52, 2,854.02 and 1,762.52

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Solution

The fourth proportional to 1,906.52, 2,854.02 and 1,762.52 is: 2,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.52 : 2,854.02 = 1,762.52 : x
  2. Step 2: Convert to fraction form
    1,906.52/2,854.02 = 1,762.52/x
  3. Step 3: Cross multiply
    1,906.52x = 2,854.02 × 1,762.52
  4. Step 4: Simplify right side
    1,906.52x = 5,030,267.33
  5. Step 5: Solve for x
    x = 5,030,267.33/1,906.52
  6. Step 6: Final answer
    x = 2,638.46

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