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Finding the Fourth Proportional to 3,005.40, 4,147.02 and 1,957.80

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Solution

The fourth proportional to 3,005.40, 4,147.02 and 1,957.80 is: 2,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.40 : 4,147.02 = 1,957.80 : x
  2. Step 2: Convert to fraction form
    3,005.40/4,147.02 = 1,957.80/x
  3. Step 3: Cross multiply
    3,005.40x = 4,147.02 × 1,957.80
  4. Step 4: Simplify right side
    3,005.40x = 8,119,035.76
  5. Step 5: Solve for x
    x = 8,119,035.76/3,005.40
  6. Step 6: Final answer
    x = 2,701.48

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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.