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Finding the Fourth Proportional to 3,156.91, 4,355.96 and 1,830.43

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Solution

The fourth proportional to 3,156.91, 4,355.96 and 1,830.43 is: 2,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.91 : 4,355.96 = 1,830.43 : x
  2. Step 2: Convert to fraction form
    3,156.91/4,355.96 = 1,830.43/x
  3. Step 3: Cross multiply
    3,156.91x = 4,355.96 × 1,830.43
  4. Step 4: Simplify right side
    3,156.91x = 7,973,248.93
  5. Step 5: Solve for x
    x = 7,973,248.93/3,156.91
  6. Step 6: Final answer
    x = 2,525.65

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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.