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Finding the Fourth Proportional to 3,157.33, 4,357.03 and 1,830.95

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Solution

The fourth proportional to 3,157.33, 4,357.03 and 1,830.95 is: 2,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.33 : 4,357.03 = 1,830.95 : x
  2. Step 2: Convert to fraction form
    3,157.33/4,357.03 = 1,830.95/x
  3. Step 3: Cross multiply
    3,157.33x = 4,357.03 × 1,830.95
  4. Step 4: Simplify right side
    3,157.33x = 7,977,504.08
  5. Step 5: Solve for x
    x = 7,977,504.08/3,157.33
  6. Step 6: Final answer
    x = 2,526.66

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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.