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Finding the Fourth Proportional to 3,156.41, 4,355.27 and 1,829.93

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Solution

The fourth proportional to 3,156.41, 4,355.27 and 1,829.93 is: 2,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.41 : 4,355.27 = 1,829.93 : x
  2. Step 2: Convert to fraction form
    3,156.41/4,355.27 = 1,829.93/x
  3. Step 3: Cross multiply
    3,156.41x = 4,355.27 × 1,829.93
  4. Step 4: Simplify right side
    3,156.41x = 7,969,808.31
  5. Step 5: Solve for x
    x = 7,969,808.31/3,156.41
  6. Step 6: Final answer
    x = 2,524.96

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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.