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Finding the Fourth Proportional to 2,740.45, 4,102.03 and 1,957.93

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Solution

The fourth proportional to 2,740.45, 4,102.03 and 1,957.93 is: 2,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.45 : 4,102.03 = 1,957.93 : x
  2. Step 2: Convert to fraction form
    2,740.45/4,102.03 = 1,957.93/x
  3. Step 3: Cross multiply
    2,740.45x = 4,102.03 × 1,957.93
  4. Step 4: Simplify right side
    2,740.45x = 8,031,487.60
  5. Step 5: Solve for x
    x = 8,031,487.60/2,740.45
  6. Step 6: Final answer
    x = 2,930.72

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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.