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Finding the Fourth Proportional to 4,330.71, 6,493.34 and 1,830.60

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Solution

The fourth proportional to 4,330.71, 6,493.34 and 1,830.60 is: 2,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.71 : 6,493.34 = 1,830.60 : x
  2. Step 2: Convert to fraction form
    4,330.71/6,493.34 = 1,830.60/x
  3. Step 3: Cross multiply
    4,330.71x = 6,493.34 × 1,830.60
  4. Step 4: Simplify right side
    4,330.71x = 11,886,712.78
  5. Step 5: Solve for x
    x = 11,886,712.78/4,330.71
  6. Step 6: Final answer
    x = 2,744.75

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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.