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Finding the Fourth Proportional to 3,141.40, 4,712.10 and 1,193.35

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Solution

The fourth proportional to 3,141.40, 4,712.10 and 1,193.35 is: 1,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.40 : 4,712.10 = 1,193.35 : x
  2. Step 2: Convert to fraction form
    3,141.40/4,712.10 = 1,193.35/x
  3. Step 3: Cross multiply
    3,141.40x = 4,712.10 × 1,193.35
  4. Step 4: Simplify right side
    3,141.40x = 5,623,184.54
  5. Step 5: Solve for x
    x = 5,623,184.54/3,141.40
  6. Step 6: Final answer
    x = 1,790.03

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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.