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Finding the Fourth Proportional to 3,004.85, 4,146.48 and 1,660.40

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Solution

The fourth proportional to 3,004.85, 4,146.48 and 1,660.40 is: 2,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.85 : 4,146.48 = 1,660.40 : x
  2. Step 2: Convert to fraction form
    3,004.85/4,146.48 = 1,660.40/x
  3. Step 3: Cross multiply
    3,004.85x = 4,146.48 × 1,660.40
  4. Step 4: Simplify right side
    3,004.85x = 6,884,815.39
  5. Step 5: Solve for x
    x = 6,884,815.39/3,004.85
  6. Step 6: Final answer
    x = 2,291.23

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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.