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Finding the Fourth Proportional to 3,174.68, 4,381.37 and 1,830.35

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Solution

The fourth proportional to 3,174.68, 4,381.37 and 1,830.35 is: 2,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.68 : 4,381.37 = 1,830.35 : x
  2. Step 2: Convert to fraction form
    3,174.68/4,381.37 = 1,830.35/x
  3. Step 3: Cross multiply
    3,174.68x = 4,381.37 × 1,830.35
  4. Step 4: Simplify right side
    3,174.68x = 8,019,409.52
  5. Step 5: Solve for x
    x = 8,019,409.52/3,174.68
  6. Step 6: Final answer
    x = 2,526.06

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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.